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Investigation into How Brake Disk Design Affects Cooling
1
This report is submitted in part fulfilment of the requirement
for the award of Bachelor of Engineering (Honours) in Mechanical Engineering
25ft May 2016
By
Sean Lydon
Investigation into How Brake Disk
Design Affects Cooling
Institute of Technology, Sligo
Investigation into How Brake Disk Design Affects Cooling
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ABSTRACT
This thesis reports on an investigation of a novel approach to the cooling of brake disks, based
on the three different designs. The design features on a brake disk have the capacity of cooling
down the disks more efficiently without affecting the disk properties. The disk brake is a device
for slowing or stopping the rotation of the wheel, repetitive braking of the vehicle leads to heat
generation during each braking event. The author also set out to do some tests on a road at
emergency braking to see what heat was generated in a 0.2 km strip of road at 1470 psi of
pressure.
The law of conservation of energy states that energy cannot be created or destroyed but only
changed from one form into another. When two objects are sliding on a surface, friction is
created that energy is transferred onto the surface that the moving body is sliding upon. This
transferred energy turns kinetic energy into heat energy
The testing carried out on the three disks hoped to show that the additional design features on
that specific disk would cool down faster than other disk, later the author found that this did
not always happen as expected in spite of the added design features.
Using a purpose built test jig along with a brake line and additional brake hoses equipped with
a pressure gauge the author set out to apply the brakes at a set pressure and a set time to see
what heat was generated during that time and then applied the same principles to each set of
disks and finally compared all three to see which one was most effective at cooling the disk.
Investigation into How Brake Disk Design Affects Cooling
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ACKNOWLEDGEMENTS
I would like to thank all the people that took part in this research and helped me to complete
this thesis.
I would first like to thank my supervisor Dr David Mulligan for his continued support
throughout the year, His knowledge of materials and lab testing apparatus and his guidance on
my approach to testing have helped me overcome problems that arose throughout the course
of the thesis
I would also like to thank my local mechanic Billy Reilly for his extensive knowledge on cars
and also the use of his car for my testing. He has also helped me through some issues we had
that arose during the testing.
Finally, I would like to thank my brother David and my Dad for their assistance during the
testing, and the work that was put into to make the brake rig.
Investigation into How Brake Disk Design Affects Cooling
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Declaration of authorship
I hereby certify that the content of this project is entirely my own work and is submitted in part
fulfilment of the B.Eng (Honours) Degree in Mechanical Engineering at the Institute of
Technology, Sligo.
Any material adopted from other sources is dully cited and referenced and acknowledged as
such.
Signed: _______________________
Sean Lydon
Date: 25ft
May 2016
Investigation into How Brake Disk Design Affects Cooling
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Table of Contents
Declaration of authorship............................................................................................ 4
1.0 Introduction .................................................................................................... 7
1.1 Objectives ..................................................................................................... 8
1.2 Methodology.................................................................................................. 9
Chapter 2. 2.0 Literature review........................................................................ 10
2.1 Structural and contact analysis of disk brake assembly during single stop braking
event. .................................................................................................................... 11
2.2 Analysis of heat conduction in a disk brake system ........................................ 12
2.1 Design and optimization of ventilation disk brake for heat dissipation......... 12
2.2 Analysis of ventilation disk brake using CFD to improve its thermal
performance.......................................................................................................... 13
2.3 Structural and thermal analysis of rotor disk of disk brake .......................... 14
Chapter 3. How does cooling a brake system work? ..................................... 15
Chapter 4. Cooling in brake disk’s ................................................................... 16
4.1 Types of disks and ventilation features ....................................................... 17
4.2 Grooved and vented brake disk .................................................................. 18
4.3 Cross drilled and grooved brake disk.......................................................... 19
4.4 Benefits and drawbacks of different brake disks. ........................................ 20
4.5 Cross Drilled Brake Disk ............................................................................. 21
4.6 Advantages of ventilation in disks. .............................................................. 22
Chapter 5. Drum vs Disk brake braking systems............................................ 23
5.1 Disk and Drum brake comparison............................................................... 24
5.2 Drum Housing ............................................................................................. 25
5.3 Reliability.................................................................................................... 25
5.4 Reliability of braking systems...................................................................... 26
5.5 Deterioration of a Disk brake....................................................................... 27
5.6 Deterioration of brake Disk vs New Disk ..................................................... 28
Chapter 6. Installation ....................................................................................... 29
6.1 Warped disks .............................................................................................. 30
6.2 Brake corrosion........................................................................................... 31
6.3 Methods for suppression............................................................................. 31
Chapter 7. Material selection ............................................................................ 32
7.1 General material performance requirements............................................... 33
7.2 Initial screening of candidate material......................................................... 34
7.3 Material selection using digital logic method ............................................... 35
7.4 Optimum Material selection......................................................................... 36
7.5 Conclusion .................................................................................................. 36
7.6 Ashby’s chart............................................................................................... 36
7.7 Physical Insights ......................................................................................... 37
7.8 Microstructure of cast iron........................................................................... 38
7.9 Lab setup .................................................................................................... 39
7.10 Viewing the specimen.............................................................................. 41
Investigation into How Brake Disk Design Affects Cooling
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7.11 Physical Micro-structure of cast iron untouched ...................................... 43
7.12 Applications and other uses..................................................................... 44
Chapter 8. Testing and analysis ....................................................................... 45
8.1 My approach ............................................................................................... 46
8.2 Testing apparatus ....................................................................................... 47
8.3 Brake pedal rig............................................................................................ 48
8.4 Planning...................................................................................................... 50
8.5 Vehicle and Brake data: .............................................................................. 51
8.6 Static Testing .............................................................................................. 52
8.7 Equipment being tested: ............................................................................. 53
8.8 Test 1 (Standard vented brake disk – worn 151200km).............................. 54
8.9 Thermal Imaging readings .......................................................................... 55
8.10 Test 2 (New standard brake disk) ............................................................ 56
8.11 Thermal imaging readings ....................................................................... 57
8.12 Test 3 (Grooved brake disk) .................................................................... 58
8.13 Test 4 (Cross drilled)................................................................................ 60
8.14 SolidWorks sketches of brake disks......................................................... 64
8.15 Vehicle braking calculations..................................................................... 69
8.16 Vehicle configurations.............................................................................. 70
8.17 Calculations ............................................................................................. 72
Chapter 9. Practice braking tests ..................................................................... 74
9.1 Conclusions................................................................................................. 75
9.2......................................................................................................................... 76
9.3 Brake disk material:..................................................................................... 76
9.4 Brake disk design:....................................................................................... 77
9.5 Brake disk materials:................................................................................... 77
9.6 Recommendations Thermal Analysis (SolidWorks) .................................. 78
9.7......................................................................................................................... 79
9.8 Thermal Analysis Overview......................................................................... 79
9.9 Thermal Analysis Overview (2.0) ................................................................ 80
9.10 Finite element analysis ............................................................................ 81
9.11....................................................................................................................... 81
9.12....................................................................................................................... 82
9.13....................................................................................................................... 83
Chapter 10. References....................................................................................... 84
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1.0 Introduction
Vehicles today whether big or small or how fast they go will need a good braking
system to slow down or stop the rotation of the wheel. Cars and trucks need brakes
for safety. A disk can be made out of different materials, most common ones are cast
iron/steel or ceramic composites. Brake pads are made up of frictional material which
is then forced mechanically by a hydraulic ram against the disk. This friction causes
the disk and attached wheel to slow down or come to a halt. Newton’s first law also
referred to the law of inertia states that “An object at rest will remain at rest unless
acted on by an unbalanced force, an object in motion continues in motion unless acted
upon by an unbalanced force”. In terms of our braking system, the disk will keep in its
state of motion unless acted upon an unbalanced force which will, in this case, slow it
down.
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1.1 Objectives
The objective of this thesis is to:
 Investigate the different braking systems in a vehicle and their performances
 Analyse the results of one practical braking distance test
 Complete bench tests on all 3 disks and compare results to road tests
 Investigate the various designs of brake disks and their cooling properties
 Analyse the data and state which disk has the best rate of cooling
 Use the TM3000 electro microscope to investigate the ware on the worn brake
disk
 Compare all 3 results and show which disk is most efficient
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1.2 Methodology
Research was carried out using the vehicle provided to test the effectiveness of three
different vented brake disks to show the heat dissipation of each type and then draw
conclusions based on the evidence. The approach taken to accomplish this involved
the following steps:
Research journal papers
that have already
conducted this type of
work
Separate the brake hose
from the calliper and
connect to tee piece and
appropriate gauges
Install brake rig to brake
pedal as to have a
consistence pressure
when doing testing
Take heat readings using
thermal camera to show
heat output from brake
disks
Analyse all date and
determine which disk had
best rate of cooling
Investigation into How Brake Disk Design Affects Cooling
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Chapter 2. 2.0 Literature review
This section of the thesis outlines the research that was carried out in order to
understand the heat dissipation of brake disks and how they cope under intensive
braking at high pressures.
 It outlines summaries of previous journal papers that were carried out on
brake disk heat dissipation, be it physical testing or simulated data or
both
 Research into the comparison between physical testing and/or static
testing on brake disk design via heat dissipation.
 Investigation into finite element analysis papers to show the simulated
data based on heat dissipation of brakes
 Investigation into structural and thermal analysis of brake disks the use
of CFD to improve thermal performance.
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2.1 Structural and contact analysis of disk brake assembly during single
stop braking event.
(Ali Belhocine Abd Ramhim, 2013; Ali Belhocine, 2014)
The aim of this was project was to examine stress concentration, structural
deformation and contact pressure of the brake disks during the braking phase, other
factors which were taken into account was different coefficients and also different
speeds throughout the testing. The results than would provide better explanation of
contact pressure in a brake disk, (Figure 1 & 2) shows the designer using CFD which
provides an effective solution for multiple designs and engineering uses for brake disks
and brake pads. Where there is contact in any situation there is frictional heat
generated, this causes high temperatures which may in some cases exceed the critical
value of the given material, such problems which exist because of bad ventilation lead
to undesirable effects. Combined factors leading to failure in brake disks are stopping
at high speeds which generate high temperatures over time, poor thermal physical
and durable properties. Ventilation is very important in a braking system and poor
distribution of heat at the surface of the disk leads to thermal distortion such as coning.
The next step in improving the overall structural properties in a brake disk was to model
a 3D brake disk and run simulations on it, varying the numerical data so as to get the
best possible results one could generate.
Figure 1 Shows the thermal deformation Figure 2 shows the thermal elastic
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2.2 Analysis of heat conduction in a disk brake system
(Faramarz Talati, Salman Jalalifar, 2009)
In this project, research was done using heat equations for the brake disk and the
brake pad to calculate the heat generated which are variables to time and space. Such
areas to be covered are duration of braking, vehicle velocity, geometrics and the
overall sizes of the disk, other factors such as disk material, contact pressure have
been taken into account. The main objective here is to eliminate the high rising
temperatures and brake fluid vaporization. Repetitive braking such as descending
down a hill will lead to temperature rise which in turn will reduce its thermal
performance. Results revealed that maximum rose more with uniform pressure than
that of uniform wear, the reason this happened is that with uniform pressure the high
friction and work done tends to rise more rapidly as the radius increase while with
uniform wear it does not vary with the radius.
Design and optimization of ventilation disk brake for heat dissipation
This involves research and analysis behind why
brake disks heat up. Braking is the process of
converting kinetic energy of a moving body into
heat energy. During this process friction is
generated and used to slow down or stop the
moving body. In (Figure 3) the heat generated
from this friction produced is stored in the disk
and later released into the air, repetitive hard
braking cause’s thermal stress in the disk multiple
failures such as premature wear, elastic instability, brake vibrations, in order to
address these issues ventilation has come into consideration. Various designs on a
brake disk are used to remove this heat along with ventilation along the rim of the disk.
The 3D model can be done by SolidWorks and the analysis was done by a software
known as ANSYS, which is a special programme used for determining the temperature
distribution and deformation of the disk. The best result will be based on magnitude
of von misses stresses, temperature distribution and deformation.
Figure 3 shows thermal stress
Investigation into How Brake Disk Design Affects Cooling
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2.2 Analysis of ventilation disk brake using CFD to improve its thermal
performance
(Ali Belhocine, Mostefa Bouchetra, 2013)
This journal took an approach to investigate
the thermal performance of brake disks and
study of fluid flow characteristics. This will
be done by calculations alongside the use
of test data available for existing designs
and heat transfer and air flow rate of the
disk. (Figure 4 shows how air flow is
passed over/through the brake system
while the brake disk was in motion, the heat
that was generated escapes through the
vents in the disk and is replaced by the
cold air that enters through the vents.
 Rate of heat dissipation for the disk surfaces
 Mass flow rate through the disk passage
 Temperature uniformity on all the disks surfaces
 Detailed aerodynamics of the air flow through the passage
The project was then divided into three steps, the model creation, and mesh
generation and CFD simulation.
Figure 4 Air flow analysis
Investigation into How Brake Disk Design Affects Cooling
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Methodology included modelling the part and its 20 degree sector, next a mesh is
created so that FEA can be simulated. Boundary conditions is next set and divided
into three domains, 1): Fluid stator, 2): fluid disk outer, 3): fluid disk inner, next some
values have to be set these are ambient temperature, ambient pressure, temperature,
and RPM. The final step is validation, this is bringing all previous together and
obtaining results. From obtaining the results, heat dissipation was calculated using
values such as speed, mass flow rate, heat transfer coefficient.
2.3 Structural and thermal analysis of rotor disk of disk brake
(Suresh, 2013)
This journal looked at repetitive braking and its effects on the brake disk. Repetitive braking
leads to high heat generation during each braking event. Software such as thermal analysis
helps to diskover these types of problems and how it can affect the disk properties under these
hoot temperatures. Transient thermal and structural analysis of the brake disk is aimed at the
performance of the disk of a car under repetitive braking conditions, and from there it will
assist in disk design and analysis. The main body of this research is to analyse the
thermomechanical behaviour of the dry contact of the brake disk during repetitive braking. If
study was done on a wet contact surface area it would give inaccurate results or rather different
results to what we are looking at, since as the water or air would cool the disk and the designer
would not see how effective the disk is at handling high temperatures.
Investigation into How Brake Disk Design Affects Cooling
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Chapter 3. How does cooling a brake system work?
First off we must understand what the actual brakes do in a car, and then we will talk
about how they work and what differs from other ways of cooling.
Any vehicle moving at high speeds will need a braking system, some methods require
different approaches, it really depends on what vehicle you are trying to slow down or
stop for example, your car or bike will use the latest disk brakes while older models
had drum brake, these do the same thing but one more efficient than the other.
There are many reasons why cooling is important in brakes. Improper cooling results
in faster wear and can/will lead to thermal stress/failure in brake disks.
Brake fluid is the other important component in the brake system. Repeated braking
will incur high temperatures and if this is not dissipated it will cause the temperature
of brake fluid to rise. Brake fluid absorbs water from the atmosphere and as it does
the boiling point drops. Brake fluid has been known to boil a serious effect – total loss
of braking power, the gas from boiling fluid is compressible. When fluid cools brake
performance returns to normal. In the light of that it is important to dissipate heat as
efficiently as possible, it is also important to always have the appropriate brake fluid to
suit your car’s performance and to change brake fluid at least every 2 years.
Investigation into How Brake Disk Design Affects Cooling
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Chapter 4. Cooling in brake disk’s
In a braking situation a few things are happening, first off the kinetic energy that is
generated from the pads that bite the disk is converted into heat energy. Some of the
heat is absorbed by the disk itself which is why we see in some cases the disk glowing
red, this would be seen more in high performance cars where high speeds are
happening in short periods of time, but also in trucks because of the weight involved
and the weight transfer to the front, the brakes need to withstand these massive loads
at any given time.
As a rule “the rate of heat loss via convection is directly proportional to the surface
area”, any features in the brake disk such as grooves or drilled holes increase the
surface area and also increase the rate of heat loss. For vented disks such as the
types that the author worked on had both vents, grooves, and drilled features, while
these additional features also make the disk look better atheistically they also provide
better cooling while wear rates are reduced in the long run. In these types of brake
disk’s the air that enters the disk through the vents by rotary motion cools the disk and
disperses the heat and gases which otherwise could cause trouble or cause an
accident to the driver unknowingly.
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4.1 Types of disks and ventilation features
This was the first type of brake rotor that the author used during testing and to compare
its cooling properties to the others, was a standard vented brake rotor and was vented
only, the author later will show the other 2 types that he used. This type is commonly
used for the everyday road car, properties of this disk will help keep the disk cool as
no major temperatures will be involved for the type of car on which it is used. The
brake rotor is also more efficient at removing dirt and water than the solid disk which
has no vents but just a solid mesh all around the disk.
Figure 5 shows a standard brake disk Figure 6 Straight vanes ventilation
Investigation into How Brake Disk Design Affects Cooling
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4.2 Grooved and vented brake disk
This was another design that the author choose to demonstrate his analysis in brake
disks that had additional features to improve cooling or heat loss rates. This brake
disk will offer more improved performance in cooling the disk when high temperatures
are acting on the disk, other advantages of this type include cleaning the surface pad
faster than normal due to the additional design features, the disk also offers more bite
so this means that it has better stopping power than your normal brake disks, this is
important for heavier vehicles and high performance cars when sudden braking may
apply, for example if the more powerful car is on track and suddenly needs to brake
when approaching a sharp corner, the car will need to slow down quickly and efficiently
otherwise it will crash, but the main reason is to slow down the car quickly while
dispersing the heat generated in the disk.
Below shows (Figure 7 & Figure 8) the outside surface of a grooved brake disk and
how alternative internal vents may look like apart from the usual straight vane.
Figure 7 Alternative vented disk Figure 8 Surface of a grooved disk
Investigation into How Brake Disk Design Affects Cooling
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4.3 Cross drilled and grooved brake disk
This was the author’s 3rd and final choice in his research, the brake disk below shows
a disk with both grooved and drilled where the above had only grooved features. The
holes and grooves allow more surface contact with air that will be passing through to
cool the disk faster, the reasons why disks need to stay cool is because under these
stress conditions the disk could warp over time and cause vibrations in the foot pedal,
which is an sure indicator that your disk is warped. More seriously, under sever
heating the disk could disintegrate. Another important note to state is although roughly
20% is removed from the disk making it lighter, it also reduces the amount of friction
by 20% too because there is no surface contact where the pad meets the drilled holes
no friction can occur. While the disk does look pleasing to the eye it does serve an
important role none the less. With the directional vanes the disk acts as a propeller or
pump, sucking in the air and maintaining good flow rates keeping the disk cool.
Below shows my final testing brake disk which features grooves and drilled surface
features.
Figure 9 showing the surface of cross drilled disk
Investigation into How Brake Disk Design Affects Cooling
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4.4 Benefits and drawbacks of different brake disks.
For my testing I am investigating the cooling properties of each brake disk and
examining how each one performs under applied braking force over a period of
time. Brakes of course have one main function, to slow you down and stop you
running into the car in front of you, the factory brakes on your car provide ample
performance and while they may be good on the everyday commuter vehicle
other drivers such as the performance enthusiast needs an upgrade, either from
drilled or drilled and slotted.
 Smooth Brake Disks
99% of new cars come with a set of factory brake disks from the factory and
provide the most surface area vs drilled or slotted disks and because of that, they
are very effective at acting as a heat sink. Another design feature would be that
they are less prone to cracking under the extreme heat conditions that they might
go under, and also have a high boiling point for brake fluid but this can depend
on your type of brake oil and as well as other factors such as your type of pads.
 Slotted/Grooved Brake Disks
These got their name simply because of their design features, they have grooves
cut along the face of the disk. Under repetitive heavy the temperature will
increase dramatically on road conditions, and a layer of gas and dust will form
between the pad and disk which comes from the brake pads that rubs off when in
contact with the disk. The slots allow for escape route from this built up which
in turn offers more pad bite and lower temperatures. They also have higher
coefficient of friction because of more contact area which is good because you
are using less energy to slow the vehicle down.
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4.5 Cross Drilled Brake Disk
The cross drilled disks offer more or less the same principles as the grooved disks,
outgassing and less dust build more is less of an issue as technology progresses.
The drilled holes act as more of an aesthetic choice more than offering improved
performance, none the less they still provide dust build up from pad and disk
contact. The temperatures that the everyday family car will come nowhere close
to the performance enthusiast that he will incur on a track, so the ventilation
properties of the cross drilled offer these added benefits at keeping temperatures
down and have longer pad life and also improved wet-weather performance by
allowing water to escape the rotors surface.
Figure 10 Slotted Disk, Autoanything.com Figure 11 Smooth Disk, Autoanything.com
Figure 12 Cross drilled Disk, AutoAnything.com
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4.6 Advantages of ventilation in disks.
Ventilation in brake disks is very important as I have already stated above, under all
conditions wet or dry your braking system needs to be at its best, so what is the
purpose of ventilation?
1) The disk absorbs some of the generated heat and can cause it to
expand, ventilation acts against this.
2) It provides routes for water to disperse more quickly
3) It provides space for your brake dust to disperse
While all these additional features on a disk are designed to do a specific job they can
also lead to problems that you wouldn’t suspect. They are designed to remove heat
but the cross drilled holes can cause cracks and lower its yield stress. For these
reasons the cross drilled disks are mainly used for heavier vehicles and some high
performance cars
Figure 13 Ventilation in Disks,. Au/kangaroo-paw-ventilation
Investigation into How Brake Disk Design Affects Cooling
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Chapter 5. Drum vs Disk brake braking systems
In a drum brake braking system the surface area covers roughly 50% of the walls of
the drum assembly. How the drum brake works is by pushing the brake shoes against
the wall to slow down the rotation of the wheel. This, like the disk brake is done by
hydraulically actuated pistons and shoes are guided by a return spring assembly. The
disk brake on the other hand is also hydraulically operated but only covers about 10%
of the surface area but can offer more bite due to the pressure generated by the
hydraulic fluid pushing larger pistons against the pads on both sides of the disk. This
system is based on Pascal’s law which states “Pressure exerted anywhere in a
contained incompressible fluid is distributed in all directions throughout the fluid”. To
put in simple terms the brake calliper assembly uses the hydraulic force from the brake
pedal to pump a piston which squeezes the brake pads to the disk surfaces, creating
friction and decelerating the wheel. The calliper frame has a banjo fitting through
which the fluid will push the piston and force the pads in an outwards direction. The
pressurized fluid from the pedal is capable of pushing the piston with great force.
When you apply the brake, the calliper will receive the high pressure hydraulic fluid
from the brake master cylinder, the fluid then will push the piston which makes the
inner brake pad squeeze against the disk surface, as a result the pressure backward
force will push the calliper frame along the side pin which makes the outer brake pad
to squeeze the other side of the disk. This system is known as sliding calliper system,
on higher performance cars there can be pistons on both sides of the calliper instead
of a sliding system.
Figure 14 Disk Brake Assembly, Mr Engineer.com
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5.1 Disk and Drum brake comparison
When drum brakes were first used, they were used on all four wheels of car before the
disk came into existence. It got its name from its design, the system is housed in a
drum that rotates along with the wheel. When a car is accelerating and wants to slow
down there is a set of shoe’s that are pressed against the wall of the drum, when the
foot pedal is pressed the shoe’s would be forced against the drum thus slowing it down.
In most modern cars disks are used in the front while drums are used in the rear.
Probably two reasons for this, less expensive and easier to accommodate parking
brake. There are advantages and disadvantages of each type but the braking system
which shows the most promise is the disk brakes all around because it can produce
more braking power and greater force to slow down the rotation of the wheel. The
harder you press the brake pedal the harder the calliper will squeeze the brake pads
against the spinning disk with less danger of locking the wheels than with drum system.
Locked wheels lessen braking efficiency and lead to loss of control.
Figure 15 Disk and Drum Design, Arrc.ebscohost.com
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5.2 Drum Housing
Pictured below is a drum brake disk encased in its shell, the author has chosen this
image to show ease of use vs the disk and its parts. As you can see the drum brake
is more awkward to work with for a number of reasons.
1. To view the moving parts you have to remove the shell which is time
consuming and something which is not just loosen with a bolts or clips
especially if it has rust taken a beaten over the years.
2. Case can become seized over time making it harder to come off
3. Slower in response time compared to disk braking system
4. Not as efficient at dissipating heat as disk disk’s
5. Need more braking distance compared to a disk
5.3 Reliability
Figure 16 Drum Housing, Edmunds.com
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5.4 Reliability of braking systems
Next I would like to talk about the reliability of both braking systems, disk brakes have
the advantage of better stopping power. While drum brakes, like disk brakes, have a
hydraulic system they are not as powerful as the setup in disk brakes because drum
brakes tend to lock and make the vehicle unstable, therefore pressure to drums has
often to be limited. The main reason why disks are used at the front in today’s modern
cars is because of the weight transfer to the front so therefore you need more stopping
power at the front than you do at the rear. For drum brakes the moving parts may be
smaller and more compact but still don’t offer that stopping power that disks do. They
are also more susceptible to warping and brake fade due to the high temperatures.
The high temperatures that would be generated have nowhere to go and so are
absorbed by the material itself thus warping the disk or damaging it in some way over
a shorter period of time. Maintenance is also done at shorter intervals and needs a
lot cleaning because of the dust residue build up from the shoes that are kept inside
the casing. Disk brakes need more hardware and more hydraulic pressure to get the
full potential of the brake but are in many more ways more efficient at slowing down
your car than the drum brake
Disk brakes needs more hardware and more hydraulic pressure to get the full potential
of the brake but are in many more ways more efficient at slowing down your car than
the drum brake.
Figure 17 Disk and Drum reliability
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5.5 Deterioration of a Disk brake
In today’s society a lot of people expect parts to last forever but that is not the case,
parts in the manufacturing industry are designed to fail after so long but are still
manufactured to reasonably safe specifications, below the author has shown what
happened after the brake pads had being used long after its life expectancy. The pad
below has been worn down to the bare metal which is not a good idea, given you will
have little to none braking power in the front and a possibility of welded brake disk,
again a dangerous situation if it were to happen driving along at 60 kph. There will
also be greater heat generated and much higher chance of Disk disintegration.
Figure 18 Brake Pad deterioration, MBworld.org
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5.6 Deterioration of brake Disk vs New Disk
On the left you can see that the Disk has rusted away and looks pretty seized up vs a
new furbished one on the right. The left Disk could have brake dust built up and other
dirt particles built up inside, which will need cleaning to be able to perform at its best
efficiency. Another reason why disk (A) looks rusty could be from lack of use, when
it’s in use again it should start to look little like disk (B). Another indicator as to when
you should change your brake pads is when you hear a squealing noise, this is not to
be confused with noise often heard when they are first installed as they will make some
squealing noise due to the film on the brake pads and disk, you should not always rely
on this and should inspect them every 10,000 miles or so. Often some people just
replace the parts that have broken or worn away but when doing the brakes it is also
recommended to change the brake fluid at least every two years.
Figure 19 Disk pad deterioration Figure 20 Disk Pad refurbished
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Chapter 6. Installation
Here I would like to talk a little about installation and what issues might arise if they
weren’t install in the correct manner.
Fitting, bedding in and tips to avoid warped Disks
The following below is quoted from an instruction manual that came with a set of brake
disks that we bought to use for testing, on how to avoid warped disks Give the
reference to this,,,,
“When using disks always make sure the mounting surfaces of the disks and the hubs are
spotlessly clean, failure to do so can result in run-out which lead to warped or juddering of
disks”.
“Run-out should be a maximum of 0.005 or 0.15mm when measured on outer edge”.
“The way disks are manufactured means new disks are very unlikely to be warped, but if you
do find run-out when fitting then simply reposition the disks on the hubs, rotate to the next
whole location”.
“It is crucially important that run-out is minimised at the fitting stage, as if there is run-out now
it can lead to variation in thickness at a later date that will cause juddering”.
“You should make sure all callipers and sliding pistons are free to move. Any binding can lead
to overheated disks and pads and even bearings”
“Bedding in will take around 200 miles, this will allow the pads to establish a good footprint
on the disks with even coverage. For the 1st 200 or so miles avoid emergency or heavy
braking”.
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6.1 Warped disks
It is nearly impossible to warp disks from normal/slow road use. Vibration through the
steering wheel is mostly caused by brake deposits sticking onto the disk. This can
occur after some braking and particularly if stopped when the disks and pads are hot.
If at all possible avoid sitting for prolonged periods with the brake pedal applied, or
even the handbrake. If you think you have pad deposits on the disks then you can
remove them by doing serval hard braking procedures in a row and again avoid sitting
at the end with the brakes applied. Drive for 1 or 2 miles to allow the disks and pads
to cool in a constant manner. Different pads have different temperature ratings. When
this operating range is exceeded you can get vibration and juddering. This is simply
the pads getting pushed back off the disks when the pedal is applied. Allow the brakes
to cool down and all should be ok.
Figure 21 Warping caused by uneven wear, bimmerfest.com
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6.2 Brake corrosion
Dust and rust can cause serious issues down the road if left untreated. Both can occur
at any stage and only worsen if it isn’t looked after. Dust formed from the abrasion
that happens between the disks and brake pads due to the braking occurring. That
does not necessarily mean that there’s a problem straight away, after all you will
expect to see some brake dust coming from your pads from the contact that happens
between the two surfaces, although do not take this lightly as it will and has caused
issues such as alloy corrosion. Other problems such as vibration, squealing can
happen also and can sometimes but not always be an indicator that something is
wrong with your braking system.
6.3 Methods for suppression
Brake Pads: While some brake pads produce more dust than others for the obvious
reasons such as disk diameter, weight of vehicle, and type of braking system, but more
than not most cars will generally produce the same amount of brake particles and dust.
As I have states in a previous section like on the smooth disk dust particles will build
up and offer less bite and lose some braking performance.
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Chapter 7. Material selection
Material selection has become an important factor when choosing a material to suit
the environment and the conditions that it will be put under for the obvious reasons
such as, reduced life expectancy or brake fade occurring as the cars speeds down the
road and may need to do an emergency stop or if repetitive braking is occurring the
disk will incur high temperatures. There are also other factors included such as
reduced weight of the car and fuel efficiency, such lightweight material would be
aluminium used in lighter cars or perhaps motorcycles. These materials have a lower
density but a higher thermal conductivity. The most important factor when considering
material selection would be safety and its ability to withstand high friction and wear
properties, other areas to consider is velocity temperature, environment and high
durability.
There are 4 stages of considering when selecting a material, I will discuss these below.
1. General material performance requirements
2. Initial screening of selected material
3. Material selection using digital logic method
4. Optimum material selection
Upon research I have seen that this is one type of application for material selection, I
have seen other methods which have done more work for selecting the material or
done fewer steps but also achieved the same result.
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7.1 General material performance requirements
This involves research done about the actual braking system in a car, the stopping
system used to stop the rotation of the wheel. The brake system generates a high
braking force either through mechanically or hydraulically clamping pads onto the disk
and slowing it down, friction is than generated upon braking power. Different materials
have different frictional properties, the higher the coefficient of friction the more braking
power will be induced. For all disk brakes, they need the pads to push against them
to slow the car down
Figure 22 Vehicle Braking system, google images
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7.2 Initial screening of candidate material
Most cars on the road today that have disk brakes installed have a cast iron type of
material. Cast iron weights in around 6800-7800 kg/m3 while Aluminium is 2712 kg/m3,
but because it of more practical properties cast iron is the most suitable material for
disk brakes. Cast iron does cost more but it is easier to manufacture than other
materials, most importantly it has higher thermal stability thus making it a suitable
candidate for it’s this purpose.
Aluminium was also shown as a promising type of material for disk brakes but further
research ruled this out. Aluminium is a lighter material with low density and saving
weight reduction on the car up to 50-60% but testing proved that repeated braking
lowered the coefficient and cause significant wear of the brake pads thus lower its life
expectancy. Following other tests which involved adding/mixing more particles to the
aluminium composite only resulted in more cost and more time to achieve the level of
results got with the cast iron disk.
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7.3 Material selection using digital logic method
This method involves research done for what is the optimum material for its intended
purpose using a specified ranking. A list of 5 tables was drawn up and marked
accordingly for its values giving the result either a 1 or a 0 for a desired number of
tests, (1) Compressive strength, (2) Friction coefficient, (3) Wear resistance, (4)
Thermal capacity, (5) Specific gravity
 Table (2) Weighting factors for brake disk
Further test scores for the chosen material.
Property Positive decisions Weighting factors
Compressive strength 1 0.1
Friction coefficient 3 0.3
Wear resistance 3 0.3
Thermal capacity 2 0.2
Specific gravity 1 0.1
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7.4 Optimum Material selection
Here the researcher is trying to improve the overall performance of the best suited
material, meaning that all other candidates must perform at a higher level than the
currently used material if it were to be accepted.
7.5 Conclusion
The selected material is then used for the design and application of automotive brake
disk. All results were taken into account and then used for future references. They
then could use these results if current standards were not up to use at a later date due
to the continual change in design and technologies.
7.6 Ashby’s chart
Ashby’s materials selection chart is a novel graphical way of presenting material property data.
Figure 23 shows Ashbys Chart
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7.7 Physical Insights
Stiffness measures how much something stretches elastically when a load is applied.
Young modulus measures stiffness and is a material constant.
Young modulus and density both depend on the atomic packing within the material,
and Young modulus depends on the type of bonding between the atoms.
The metal and polymer bubbles are small – this is because the material composition
and processing do not have a significant effect on density or Young modulus.
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7.8 Microstructure of cast iron
During my research and before any testing had commenced I had done a lab
investigating on the microstructure of a worn Grey Cast iron disk. The brake disk
below is a standard disk that had covered 150,000 km and that was tested with the
original brake pads. Further testing that I had completed with other disk sets will be
discussed later. A section was cut from the test sample and put under the electronic
microscope which we used to view the microstructure at a magnification of 30,000.
Figure 24 Rusted Disk Surface Figure 25 Side View
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7.9 Lab setup
Procedure:
(1) start up the microscope, (2) Prepare a sample, (3) Place a specimen on the
stage, (4) observe an image, (5) Save an image, (6) Finish the observation,
(7) Shut down the microscope
Items to prepare:
(1) Sample, (2) Conductive double sided tape, (3) tweezers,
(4) Specimen stub, (5) Specimen holder, (6) Height gauge
(1) Starting up the microscope:
Turn on the earth leakage breaker in the back of the main unit
Turn on the power switch on the right side of the main unit to start the device
The evacuation will start automatically when the EVAC LED (blue) on the display
panel blinks. When the AIR LED (yellow) lights, press the EVAC AIR switch to start
the evacuate EVAC LED (blue) lights when the evacuation ends
Figure 26 Sample cut for viewing Figure 27 Sample viewed on
electro Microscope
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(2) Prepare a specimen
Bulk sample (Conductive/Non-conductive)
(In this case, our sample is cast iron and is conductive)
(1) Stick the conductive tape on the specimen stub and attach the specimen
(2) Set the specimen stub in the specimen holder and adjust the interval
between the specimen surface and the height gauge to about 1mm
(3) Place a specimen on the stage
(1) Push the EVAC/AIR switch in introducing the air into the specimen chamber. After
introducing the air in the specimen chamber, the status the status of AIR/LED (yellow)
changes from blinking to stationary (for 1 minute)
(2) Draw out the specimen stage slowly, and set the specimen holder. Turn the XY
knob of the specimen stage, and adjust the specimen stage to the centre.
(3) When observing at high magnification or a heavy specimen, use the provided ball
wrench to fix the specimen holder.
(4)Tighten the hexagon socket head screw with the ball wrench to fix the specimen
holder.
(5)Close the specimen stage was drawn out. Press the EVAC/AIR switch to evacuate
the specimen chamber with the specimen stage when the EVAC LED blinks (blue).
You are now ready to view your specimen.
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7.10 Viewing the specimen
I have put together a few images after viewing the worn brake disk at a magnification of
30,000. Here I will show what the disk looks like after it had 150,000 km done.
Normally your typical brake disks will need replacing anywhere from 15,000-70,000
(about 113,000 km) but this also depends on your driving style and type of pads, some
disks can last longer whereas other’s will need changing sooner. For our brake disks
and brake pads, it was time to change them as you may have seen how worn or
damaged the disk had become. As a rough guide if the lip on the outside edges is
less than one sixteenth of an inch or 1 mm there is still life in your disk. Fitting new
brake pads along with a new disk will require about 1000 miles to bed them in, do not
fret about them being noisy at this time as this is completely normal if fitted correctly.
If you wish to avoid some of this problem you could skim the disk about 0.0005 inches
on a lathe to address this issue although it is not a requirement and should be avoided.
Fig (1) Fig (2)
The above photos were taken from the electronic microscope TM3000 at a
magnification of 30,000. (Figure 1) shows little surface cracks and scratches that the
disk had incurred over the course of it life span. Although we expected to see a lot
more damage done than this we were surprised that at the mileage completed the
damage was only starting to show from that point onwards. The conclusion the author
could gather from this, is that the car was not under severe braking forces while this
disk was in use.
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In (Figure 2) it shows a more close up inspection, at this level of magnification we were
able to measure the width and length of any crack the disk had.
Below I have shown a 3D image with dimensions measuring the various cracks and
dents that this surface had endured. Although we weren’t able to measure the depth
of the crack, we were able to measure other dimensions such as length and width. For
clarity reasons we had to clean the surface of the test sample (Figure 2) as there had
been residue left over such as dirt and dust from the brake pads. The author had to
be careful as not to leave any new scratch marks when cleaning the surface with sand
paper as it may be mistaken as a flaw when viewing it under such high magnification.
Figure 1 Figure 2
To the left is a specimen that
the author has cleaned and
polished to a better standard
so that he could see the
defects much clearer.
This specimen is almost
indistinguishable from the
atomic structure of cast iron
which is shown on the next
page.
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7.11 Physical Micro-structure of cast iron untouched
Below is an image of the microstructure of cast iron. It is very similar to the
microstructure that I had viewed above using the microscope, almost indistinguishable
from a damaged-free cast iron sample. It has a flake like form with nodular nodes in
its appearance. It also has a worm like or vermicular compacted-graphite shape.
To the left is an image
of the atomic structure
of cast iron, just like
the clean sample
above it is hard to see
what is what,
Because the old worn
hadn’t taken much
damage the grain
structure hadn’t
changed, leaving the
viewer unsure if it was
a worn sample or not.
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7.12 Applications and other uses
Cast iron is widely used in structural and decorative applications, it is cheap, durable,
and easily manufactured and also casting it into varieties of shapes. Other uses
include hardware, buildings, tools, piping.
It is extremely strong and durable when used appropriately and if protected from harsh
environments. Its properties allow it to be stronger in compression than tension for
example the brake pads squeezing against the brake disk receives compression
forces.
As strong as cast iron is, if exposed to moisture and oxygen it can develop problems
such as rusting which is unavoidable if precautions are not taken.
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Chapter 8. Testing and analysis
To put the author’s thesis into perspective he set out to investigate how brake disk
design affects cooling, to do this the author bought 3 new brake disks each with their
own distinct design for improved cooling. The author then set out to start his testing
on a car because he felt that this would be the best way to mimic his braking situation’s,
rather than setup the brake disk’s on a lathe and apply a brake. Unfortunaly when I
went out to see an airport strip to my testing I was declined because of safety and
insurance reasons, I then went and did half my testing both on a closed road and in
my garage with the front of the car supported as to let the wheels freewheel. By using
a car my results would be very similar to those induced out in the open road but
because I had no airflow coming in at the wheels while testing in the garage the results
will be slightly different.
Figure 1, 2 & 3 show 3 brake disks that will be
tested on
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8.1 My approach
The aim of my thesis was to investigate the heat dissipation between different brake
disks’s, to do this I had to purchase special equipment to take heat readings. Speaking
to the specialist’s in the college they had told me to purchase a thermal imaging
camera. What this does is take heat readings at a close range displaying in degrees’
and also displaying how hot or cold an object is in colours from red (hot) and blue
(cold). This piece of equipment proved to be very useful in my experiments as the
main objective in my thesis was to analysis the heat dissipation in brake disks.
Figure 29 Flir Imaging camera Figure 27 Thermal imaging
camera
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8.2 Testing apparatus
During my testing I had been asked to investigate the total braking force in a car, this
came simple enough to test, I had expected that the full braking force in the braking
system would be quite high so I purchased a pressure gauge up to 1500 psi, lucky
enough the car’s braking pressure maxed out at 1470 psi. For my static testing I
bought smaller pressure gauges so that I knew what pressure I was applying and that
it remained constant at all times, I will explain more in detail about this later in the
process.
Another important factor to note about these gauges is there is a nip at the head of
the gauge that has to be cut to allow air in and out so there wouldn’t be a build-up of
pressure inside the unit. We split the brake line at the flexible hose so we could insert
the pipe with the pressure gauge.
Figure 29 1500 Pressure gauge
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8.3 Brake pedal rig
Figure 30 & 31 shows the brake Rig used during testing
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In the beginning we hadn’t initially on intended to use a rig but we quickly realised this
was needed to help provide a constant pressure it would provide a constant pressure
for us while we provided the acceleration ourselves. Through SolidWorks it saved us
some time physically making other rigs that may not be as suitable as the rig above,
with SolidWorks we could change it to whatever size or shape we needed with a click
of a button.
This was a purpose built rig that had to be fitted to the car as shown. Its purpose was
simple, it would act as a piston or lever that was adjustable in and out via a screw.
When the author was doing the testing we had to have a constant pressure applied to
the brakes when we were taking heat readings, just as we did in our emergency
braking situations otherwise we our results would be meaningless, our investigation
was to apply the same pressure across all brake disks and then compare all the results
and write our conclusions to say which one had the most best rate of cooling. The
only job in this situation was to press the accelerator for the given time which we had
in mind, our speed was measured via the car’s speedometer according to our set
speeds during the testing.
This was our pressure gauge
set up along with our brake
pedal rig. Through this we
could set our brake pressure
and see what pressure was
applied via our gauge.
We had to have it setup on the
passengers door so that the
driver could see what pressure
he was setting, once set to 50
psi, it was set for the whole of
the testing, the only thing to do
was control acceleration.
Figure 32 Pressure gauge setup
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8.4 Planning
When we first started testing, the car which would be tested on had already one of our
test disks so we decided to begin road testing on that and then compare these results
without static testing and see do they match or show any differences. For our 1st
experiment we used the new grooved and drilled brake disk’s, at this stage it didn’t
matter which ones were on because we had decided to compare road tests on all new
disks with our static testing which I will explain later. The idea here was to do
emergency stops at different speeds and see what heat was generated and later then
to compare which disk had the best rate of cooling. While doing research on my thesis
throughout the year I had expected that the disks with the additional features to
dissipate the heat quicker but after some analysis and testing I found that this was not
the case.
An important factor to note is that all disk disks will incur some heat in them without
the driver touching the brakes, this is because of the slightest surface contact area
between the brake pads and the disk’s.
Below I have a table showing emergency stops at different speeds, I have recorded
several factors during testing that could affect the experiment in some ways such as
weight, speed, distance. All starting temperatures are recorded both at beginning of
the testing and exactly after the car has stopped, this is to get a heat reading as precise
as we can. As you can see below the faster the car went, the more heat was generated
in the disks
Figure 33 First Testing analysis
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8.5 Vehicle and Brake data:
Vehicle Characteristics
mVehicle Mass 1266kg
Brake force Distribution 60:30
Brake Application Characteristics
Initial vehicle speed 80 km/h (22.22 m/s)
Duration of brake application 30 s
Initial Brake temperature 15 degrees Celsius
Front Brake Disks (Solid)
Disk outer diameter 280 mm
Disk ring inner diameter 15.5 cm
Disk Thickness 20 mm
Number of Vanes 28
Figure 34 Car which was tested
on
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8.6 Static Testing
Now that we done some road testing, we are now going to do static testing but with
same principles involved. Below I have listed out all the apparatus that will be used
throughout the testing.
Test equipment:
1. Jig for keeping constant pressure on brake pedal/accelerator pedal
2. 2 flexible brake pipes, standard fitment
3. 4ft length of copper brake pipe
4. Tee piece, standard brass as used in motor vehicle brake circuits
5. Male to male connector, again standard in brake circuits, to connect female to female
pipe endings
6. Number of fittings to enable connection of flexible brake pipe to gauges, supplied by
Pirtek, experts in supply and manufacture of hydraulic and brake pipes
7. Gauges covering range from 0 to 1500 psi
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8.7 Equipment being tested:
Brake disks as follows:
$ Standard brake disk having covered 150,000 kms, tested with existing brake pads
$ New set of standard brake disks, made by Mintex
$ New set of high performance grooved disks made by high performance disk
manufacturers Mtec.
$ New set of high performance grooved and bored disks made by high performance disk
manufacturers Mtec.
$ New disks tested with new high performance eco-friendly pads made by EBC. New
pads were bedded in for approx. 600kms as recommended by manufacturer.
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8.8 Test 1 (Standard vented brake disk – worn 151200km)
For our first static testing as shown the old worn vented brake disk was tested before
the new standard one, the reason this was done was to compare its rate of cooling at
this stage with a new disk that had no wear on it. Also the worn brake pads were used
for this test and to be compared with the new brake pads.
The table above shows that heat readings were taken at the start and at the end while
keeping the same pressure across the board and the time so that the results could be
as accurate as possible for all disks. If I applied different brake pressure to the disks
than my experiment would have no meaning, again like I have said before, the same
pressure was applied for the testing to get as accurate results as can be. Because we
had done emergency stops on our road test we want to mimic the idea here on our
static testing.
Figure 35 Worn Disk
Figure 36 Worn Brake Pad
Figure 37 First Bench test results
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8.9 Thermal Imaging readings
Below is a graph of the first test we did, the top row indicates the speed while the blue
line indicate the starting temperature and the orange line indicates the end
temperature.
20
Start Temp 14.2 15.6 24 30.5
End Temp 15.6 24 30.5 48.7
0
10
20
30
40
50
60
Test 1
Start Temp End Temp
40 60 80
Here I have displayed all the
thermal imaging of the results
that the author obtained during
testing.
Do you know notice the hot air
escaping through the vents of
the brake disk?
Figure 38 Test 1 results
Image 1-5, Thermal imaging heat
readings
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8.10 Test 2 (New standard brake disk)
Below the author is testing the standard brake disks and new brake pads, the previous
test had the same disk and pads but were worn and had 151200 km on them. As I
stated back in my lab testing where I viewed the specimen under a microscope I also
compared the worn material vs the new material to show the subtle differences.
As shown above there is considerable difference between the new standard disks and
the worn one’s, this could be for different reasons such as worn brake pads not making
full contact at all times with the disk, either way the author was surprised to see that
the old disks did not heat up as much as the new ones.
Figure 39 Bench test No.2
Figure 40 Standard Brake disk
Figure 41 Graph for bench test
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8.11 Thermal imaging readings
Above are the results that were obtained using the thermal imaging camera from the
new standard brake disks. Surprisingly the new disks heated up quicker than the worn
disks. The time period between each result was 30 seconds. What’s important to
note here us that the heat is escaping through the vents as shown in the last 3 images.
The last image shows the whole disk heating up to 138 degree’s, this might happen
because on this disk here doesn’t feature additional ventilation features like the other
2 test disks that we will be explaining later on, such as the grooves and cross drilled
disks
Image 1-5 shows heat readings
for Standard Disk
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8.12 Test 3 (Grooved brake disk)
As you can see I keep the same brake pressure applied across so that my results will
be as accurate as can be and also that they mimic the road testing as close as
possible.
Our heat readings were more or less the same as in our previous testing, this has
surprised the author because with the additional grooves on the face of the disk they
should theoretically dissipate the heat better than the standard disks but our results
prove otherwise.
Grooved brake
disk
Figure 42 Grooved Disk Figure 43 Heat readings for
grooved disk
Figure 44 Results from grooved
disks
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Thermal imaging readings
Here is the heat readings as taken from the thermal imaging camera, before any
braking is applied we took a cold reading (image 1) just to take as a bench mark, if we
did a run and then took a reading our results would be inaccurate. As I have previous
stated there is a slight surface contact area between the disk and the pads when
driving along the road so some heat will be generated but nothing high as you might
expect
Images 1-5 showing thermal
readings for Grooved disk
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8.13 Test 4 (Cross drilled)
Above is my final test results for the cross drilled disks, these disks out of all 3 types
had heated up the most, theoretically this should not have happened, this type of disk
is the one I was expecting to have the best rate of cooling but again my results prove
otherwise. I will talk about why this might happen at a later stage in my investigation.
Image 1 and graph 1 showing
readings for cross drilled rotors
Graph 1 for cross drilled thermal
readings
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Thermal imaging readings
As shown for my final testing the cross drilled disk starts off with a cold reading at 18
degrees and peaks at 214.9 degrees Celsius. You may notice why there is a particular
section on the disk that heats up quicker than the rest of the surface such as the
middle?, this is because that where the brake pads touch the disks first at any point
when braking.
Images 1-5 showing final heat
readings for cross drilled disks
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Comparing results
In this section I would like to compare all 3 brake disks to see which one had the best
rate of cooling, given that each experiment had the same pressure applied and also
had set speeds and time allowed it will be an interesting result, theoretically the disk
with the cross drilled should have had the best rate of cooling but our results proved
that this one heated up more than the others.
(Standard disk) (Grooved disk) (Cross-drilled)
Image 1 reached a temperature of 106.8, image 2 reached a temperature of 138.6,
and our final test reached a temperature of 214.9 degrees Celsius, all taken at 50 psi
for 30 seconds and at a speed of 80 kmh.
Can you see the middle section in the image to left, it
appears to be hotter than any other surface on the
disk, as I have explain above it is because that is
where the brake pads make contact with disk and the
friction between them will cause heat, more than any
other surface area on the disk, later the excess heat
will be absorbed by the disk and spread outwards
towards the vents where the suction is pulling it away.
Figure 45 shows for contact
surface area
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Therefore from my analysis the author can conclude that the standard brake disk with
no additional features such as grooves or drilled holes proved to have the best rate of
cooling given that all the parameters were the same.
The reason for this could be that given it was static testing and also housed in a
garage, there was no air flow coming in like there would be out on the road testing, if
all the disks were road tested the author believes that he would have seen the opposite
of what was found in his results, the cross drilled would have proved to be the best
while the standard would have proven to be the least efficient
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8.14 SolidWorks sketches of brake disks
Here is a just a SolidWorks image of the grooved disk that the author did some testing
on. Using this types of software the user can do many scenarios at little cost before
being sent off to the manufacture for production, such adjustments might include
smaller or bigger disks, more or less vents, or the important features such the grooves
and cross drilled that could be drawn up by the user and do thermal analysis to show
the limits of the disk in terms in stress and distortion over time, of course the software
is only as true as the values that are inputted by the user and has to be as the exact
figures that you obtained from your research otherwise the design will have a shorter
life expectancy than previous though.
To the left is hottest temperature achieved at 80 kph which
was our top speed throughout the testing. It’s also important
to note that the disk material had a co-efficient of 0.7-0.8, as
this will have differences in heat readings, be sure to have
your thermal camera set at the correct settings also.
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SolidWorks of cross drilled disk
Here is another SolidWorks image of one of my disks, this is the type I had expected
to prove the most capable of dissipating the heat but our results proved otherwise, the
author suspects that if he had done road testing on all the disks he would have
achieved the results he was expecting.
Here is the highest temperature recorded for the cross
drilled disk at 80 KPH, this disk displayed the highest out
of all disks, theoretically it should have not but I have
explained this earlier why this might be.
Investigation into How Brake Disk Design Affects Cooling
66
SolidWorks of standard disk
Lastly here is our standard disk in a SolidWorks image, while the author would like to
point out that it’s not just important to design a disk with additional surface features it
would also be wise to adjust your air vents as not to allow excessive heat built up. On
our standard brake disk they are just straight through vents, others might feature
directional vanes which act as a propeller when the disk is rotating at high speeds
sucking in the cold air keeping the disk cool.
As shown above the disks feature their own distinct vane pattern, all do the same job
which is to remove the heat made from the friction of the pads but one can be efficient
more than the other at dissipating the heat which is the main concern overall.
Figure 45, Concepts for
ventilation,
Superstreetonline.com
Investigation into How Brake Disk Design Affects Cooling
67
Advantages of cross drilling or slotted disks
Drilled disks Advantages
The drilled disks will have more grip than other 2 types
The holes feature better ventilation and dissipate heat,
(While this is commonly accepted it was not proven in my testing)
They will run cooler and cool down much faster
Slots increase brake pad bite
Holes and slots reduce wear
Holes and slots eject water and prevent hydroplaning
They are lighter
Duly noted that these have advantages. But there are also disadvantages of the cross
drilled disk and it’s up to the owner to discern which one is fit for the purpose or his
driving style
Drilled disks Disadvantages
Drilled disk are more prone to crack
Drilled disks are more expensive
Investigation into How Brake Disk Design Affects Cooling
68
Comparing road with static testing.
Earlier, the author explain that the cross drilled rotors would have proven to be more
efficient at dissipating the heat along with our other disks had they been all tested on
the road. Our results prove that without the airflow entering the wheel when driving
along the road, the disk simply lacks the power to dissipate the heat better than the
grooved, and the standard brake disk.
Another factor that surprised the author is that during the static testing, the weight of
the car was taken out of the equation and still the disk heated up more than it did on
the road, even with the weight of the car along with a driver and a passenger.
Our road test above shows that at 80 km/h at an emergency stop the maximum heat
came to 82 degrees Celsius. Our static testing shows the disks heated up about 62%
more than it did on the road, an additional 132 degree’s more on the static testing that
in itself shows how important airflow is in a brake system.
Investigation into How Brake Disk Design Affects Cooling
69
8.15 Vehicle braking calculations
Here the author is going to talk about some calculations regarding the braking
distances in regards to the speed that was disk was rotating at.
The formula used to calculate braking distance is as follows:
Co-efficient of friction can be different for all materials, for brake disks we are looking
at a co-efficient of 0.7.
This value represents the surface contact on a dry road via the grip or bite.
Investigation into How Brake Disk Design Affects Cooling
70
8.16 Vehicle configurations
Mass of vehicle 1266
Initial velocity 22.22 (80 km/h)
Vehicle speed at end of braking 0 m/s
Brake disc diameter 0.280 m
Axle weight distribution 30% on each side y = 0.3
% of kinetic energy that disc absorbs K=0.9
Acceleration due to gravity 9.81
Coefficient of friction for dry 0.7 μ = 0.7
Kinetic energy equations
The equations below found in this journal paper can be applied to my values so that
we can calculate the heat flux in the brake disc
Energy generated during braking
K.E=k(0.5)y
𝑚(𝑢−𝑣)^2
2
= (0.9)
𝟏
𝟐
(𝟎. 𝟑)
𝟏𝟐𝟔𝟔(𝟐𝟐.𝟐−𝟎)^𝟐
𝟐
= 42115.6422J
To calculate stopping distance
𝑑 =
𝑢^2
2𝑢𝑔
= 𝟑𝟓. 𝟗𝟒 𝐦
To calculate deceleration time
V = u + at Deceleration time = braking time = 1s on bench test but 4s on road
Braking power
Pb = K.E/t =
𝟒𝟐𝟏𝟏𝟓.𝟔𝟒𝟐𝟐
𝟒
= 10528.91 W
Investigation into How Brake Disk Design Affects Cooling
71
Calculate heat flux (Q)
(Heat flux is defined as the amount of heat transferred per unit area unit time, from or
to a surface)
Q = Pb/A =
𝟏𝟎𝟓𝟐𝟖.𝟗𝟏
.𝟐𝟖𝟎
= 𝟑𝟕𝟔𝟎𝟑. 𝟐𝟓 𝑾/𝒎𝟐
Analytical temperature rise calculations (Adopted from same journal paper)
Heat forms in the braking system due to the contact area between the pads and disc of its
components. On the basis of law of conservation of energy which states that the kinetic energy
of the vehicle during motion is equal to the dissipated heat after vehicle stop.
Material properties Cast Iron
Thermal conductivity 50
Density, p(kg/m3) 6600
Specific Heat, C (J/kg C) 380
Thermal expansion, α(10-6/k) .15
Elastic modulus E (Gpa) 110
Coefficient of friction, u 0.5
Heat transfer coefficient h(w/km2) 120
Hydraulic pressure, P (M pa) 50
Investigation into How Brake Disk Design Affects Cooling
72
8.17 Calculations
RPM x
2π
60
Rads/s = M/s
Diameter of disk: 280mm = 0.28m
Radius of disk: 140mm = 0.14m
M/s = MPH
1m/s = 2.236 MPH
Brakes applied @ 20 kph = 12.43 mph = 5.55m/s
(5.55)^2
2(0.7)(9.81)
= 2.242 Metres
Brakes applied @ 40 kph = 24.85 mph = 11.11m/s
(11.11)^2
2(0.7)(9.81)
= 8.99 Metres
Brakes applied @ 60 kph = 37.28 mph = 16.66m/s
(16.66)^2
2(0.7)(9.81)
= 20.21 Metres
Brakes applied @ 80 kph = 49.70 mph = 22.22m/s
(22.22)^2
2(0.7)(9.81)
= 35.95 Metres
Investigation into How Brake Disk Design Affects Cooling
73
Thermal calculations
In this section I am going to research calculations that are used to determine thermal
flow in brake disks.
For the rotor
“𝐀𝐬𝐫” √“𝐊𝐫𝐏𝐫𝐂𝐩𝐫”
“𝐀𝐬𝐫” √(“𝐊𝐫𝐏𝐫𝐂𝐩𝐫” )”+𝐀𝐬𝐫” √(“𝐊𝐬𝐏𝐬𝐂𝐩𝐬” )
For the Stator
“𝐀𝐬𝐬” √“𝐊𝐬𝐏𝐬𝐂𝐩𝐬”
“𝐀𝐬𝐬” √(“𝐊𝐬𝐏𝐬𝐂𝐩𝐬” )” + 𝐀𝐬𝐫” √(“𝐊𝐫𝐏𝐫𝐂𝐩𝐫” )
Asr, Ass = Friction surface area of the rotor and stator respectively
K: = Thermal conductivity
P: = Mass density (kg/m3), Cp: = Specific heat at constant volume (J/kg K.)n
Investigation into How Brake Disk Design Affects Cooling
74
Chapter 9. Practice braking tests
Testing was carried out to determine the heat output generated in the disks at different
speeds for an x amount of time, the same principles were applied to the 3 disks and
then compared at the end to determine which one had the best rate of cooling.
Two tests were carried out, a road test which the author did emergency braking at the
different speeds and then applied the same principles during the static testing.
Because the car will be up on a hydraulic ramp the front wheels will be free to move,
with the car motionless, and also without the weight of the car when the brakes are
applied to the spinning disks they will stop almost instantly.
The main essentials of a braking system are as follows
Friction pair surface temperatures & temperature distributions
Thermal and thermomechanical stresses
Thermal deformations and deflections
Cooling characteristics
Brake fluid temperature
Temperatures of seals, bearings & associated brake components
Investigation into How Brake Disk Design Affects Cooling
75
9.1 Conclusions
To begin with, before the author had in mind to do static testing, he had intended on
doing all road testing on an airport runway on which he had done research and found
2 airports nearby, the reason he wanted to do this was because it would have been
closed off to traffic and also because we would be doing excessive speeds throughout
the remaining of the testing, it was unsafe to do so on public roads, unfortunaly the
author was denied access to both locations because of insurance reasons and also
because there was interruptions of flights.
The aim of this thesis was to analyse the heat dissipation of 3 different brake disks, 1)
standard disk, 2) grooved disk, 3) cross drilled disk. We set out to do a road test on
one brake disk and then compare that with our static testing, the author also set out to
do static testing on all 3 new brake disk’s and again compare those with each other to
see which one had the best rate of cooling. Along with doing physical testing the
author did some research on the analysis side of brake disk to show what forces might
be generated on a disk brake.
There are several advantages of disk brakes over drum brakes, 1) have more stopping
power, 2) can disperse the heat better than drum’s, 3)have less moving parts than
drums, 4) easier to work. They also have their disadvantages: 1) more expensive, 2)
prone to crack more easily because of nature of the design, 3) more difficult to install
parking brake.
Investigation into How Brake Disk Design Affects Cooling
76
9.2
A cars stopping distance depends on multiple things, 1) Tire to road friction, 2), vehicle
balance, 3), skill of driver, 4), system reaction time, what it doesn’t depend on is the
type of brakes, and the size even though this might seem the case. Most if not all of
today’s cars are fitted with front brake disks and rear drum brakes, this is because as
a car applies the brakes in any situation all of the weight is transferred to the front so
you have disk brakes at the front and not at the back, you need good stopping power
at the front. Weight distribution is 40%-60% at no braking while hard braking is 20%-
80%
Our practical braking tests went as expected but when the author applied the same
principles when doing the static testing, the results did not turn out as quite as he had
expected. The best of the 3 disks which was the cross drilled turned out to be the
worst at dissipating the heat while the other 2 proved to be better
9.3 Brake disk material:
All of brake disks are made from cast iron for 4 reasons,
 It is hard and durable
 It resists wear
 It is less costly than steel or aluminium
 It has better properties for dissipating heat to cool the brakes
Investigation into How Brake Disk Design Affects Cooling
77
9.4 Brake disk design:
Brake disks can differ in terms of their surface design and also in terms of their vane
design, both will have impacts on the disk and from there will show which is better at
dissipating the heat from the disk. From research the author has found that currently
there are 70 different cooling rib configurations in the disk themselves, examples
include straight vaned, curved vaned, and even segmented, and others are evenly
spaced while others are not. There are vanes which are zigzagged like a maze so on
so forth, the main idea manufactures are getting at is that different cooling rib
configurations included are will be used to optimise brake cooling.
9.5 Brake disk materials:
The material which the disk is made from is also important, a material with a good
thermal property would be a suitable candidate for the job, materials differ in all
aspects such as strength, noise, wear, and braking characteristics. Disks are carefully
manufactured so that the material cools in a way that won’t affect the overall structure
that could lead to failure when high temperatures are applied. Other factors that are
carefully monitored are the tensile strength, hardness and the microstructure.
Investigation into How Brake Disk Design Affects Cooling
78
9.6 Recommendations Thermal Analysis (SolidWorks)
From doing this thesis the author learn a lot and could have done further research and
improvements if he had more time.
The author’s final recommendations was to do some SolidWorks simulation on the
brake disks if he were to do it again using an analysis called the thermal analysis.
Both the author and his supervisor had a keen interest in doing this over the course of
his thesis but due to time constraints, he was unable to put any more time into his work
as he was leading into the last few days of the deadline.
The author’s head of year Mr Sean Dalton had introduced him to thermal analysis on
SolidWorks but had little to none experience in that area which left too much pressure
on the author to learn the software in such a short space of time.
Thermal analysis definition:
“Thermal analysis is a branch of materials science where the properties of materials
are studied as they change with temperature. Several methods are commonly used –
these are distinguished from one another by the property which is measured: Dielectric
thermal analysis (DEA): dielectric permittivity and loss factor”
Investigation into How Brake Disk Design Affects Cooling
79
9.7
Using this software the designer is enabled to carry out thermal analysis at any point
in the process of his design to ensure that all components and assembly performs in
the correct manner and most importantly within the temperature range, in this manner
the designer can spot safety issues before they arise, this saves time and costs in the
process.
The software allows you to calculate the temperature and heat transfer within the
structure of your design, every material has its own independent properties which is
important for the user to know so that the correct material will fit the purpose. Safety
also is integrated into everything these days, brake disks also need a safety design to
prevent failure over time, perhaps extra ventilation or guards.
9.8 Thermal Analysis Overview
The following below is quoted from the SolidWorks website under thermal analysis
section.
“The heat flow through the components can be in a steady state (where the heat flow
does not change over time) or transient in nature. The thermal analogy of a linear
static analysis is a steady-state thermal analysis, while a dynamic structural analysis
is analogous to a transient thermal analysis”.
Heat transfer problems can be solved using structural and fluid flow analysis methods:
In a thermal structural analysis, the effect of the moving air or a moving liquid
is approximated by a series of boundary conditions or loads.
In a thermal fluid analysis, the effect of the air or a liquid is calculated, increasing
the run time but also increasing to overall solution accuracy.
Investigation into How Brake Disk Design Affects Cooling
80
9.9 Thermal Analysis Overview (2.0)
Heat can adversely affect the performance of a design, whether it is exceeding the
permissible temperature of the device or by thermal expansion or contraction of its
components. This allows us to simulate steady state thermal performance and heat
analysis over time. Looking at the current temperature and see how quickly the design
cools down after a heat source is removed.
We are testing the heat distribution due to a fast braking action. The goal was to see
how quickly the disk cools afterwards, this can insure that heat dissipation meets
performance requirements to prevent brake fade
SolidWorks makes it very easy to interrogate the model and view temperatures over
the disk and then plot them over time
Animating the temperatures show the transfer of heat through the structure based on
the material characteristics
Heat transfer properties vary over surfaces due to shape or fluid flow SolidWorks
simulation. From the thermal analysis you can quickly obtain the structural
performance of your design
For the disk the focus is on insuring that thermal expansion does not cause problems
with the internal stress or shape of the disk
With SolidWorks simulation testing the thermal performance of your deign is highly
efficient and always up to date which helps develop the best design faster.
Investigation into How Brake Disk Design Affects Cooling
81
9.10 Finite element analysis
This is used for numerical solutions of a wide range of engineering problems, here it is used
for calculating the thermal performances of a brake disc which will show us heat values under
repetitive braking or if an emergency stop was generated what the maximum heat was
generated.
 Examples of thermal analysis software
9.11
Above is the thermal stress of a brake disk, the designer here is trying to determine
how much thermal stress the disk can incur before failure, using this software allows
the user to interchange any details at the click of a button to achieve the best possible
results.
Figure 45 showing thermal stress
Investigation into How Brake Disk Design Affects Cooling
82
9.12
This is thermal deflection on the same disk after a period of time, after the analysis the
user was allowed to see any deformation that occurred over a period of time, upon
looking at the results it was clear that the disk deformed quite considerably given the
stress that was applied. With these results the user can decide which material
performs better over the other, which in turn saves cost and time in the manufacturing
process, being able to simulate data before any designs are put into production and
see the results is very impressive in today’s software
Figure 46 shows thermal deflection Figure 47 showing side view deflection
Investigation into How Brake Disk Design Affects Cooling
83
Thermal Distribution
9.13
This is also an area that could have been analysed using thermal analysis, the user is
researching thermal distribution on the disk after a braking situation was simulated. A
static study was approached and upon doing the analysis the user saw that the disk
warped under the specified conditions that were inputted from the beginning. A probe
tool can also be selected to pin point any location on the disk to see any desired result
that the user might want to view.
Figure 48 shows thermal heat distributed over the surface
Investigation into How Brake Disk Design Affects Cooling
84
Chapter 10. References
Ali Belhocine Abd Ramhim. (2013). Structural and contact analysis of disc brake
assembly during single stop braking event. India: The indian institute of metals.
Ali Belhocine, A. R. (2014). Structural and Contact Analysis of Disc Brake Assembly
During Single Stop Braking Event. Metallurgy Materials Engineering.
Ali Belhocine, Mostefa Bouchetra. (2013). Analysis of ventilation disc brake using CFD
to improve its thermal performance. Ain Shams Engineering journal, 4, 475-
483.
Faramarz Talati, Salman Jalalifar. (2009). Analysis of heat conduction in a disc brake
system. Heat Mass transfer.
Suresh, D. (2013). Structural and thermal analysis of rotor disc of disc brake.
International Journal of innovative research in science, engineering and
technology, 2(12). Retrieved from
http://www.ijirset.com/upload/2013/december/51A_Structural.pdf

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Finished version 2016

  • 1. Investigation into How Brake Disk Design Affects Cooling 1 This report is submitted in part fulfilment of the requirement for the award of Bachelor of Engineering (Honours) in Mechanical Engineering 25ft May 2016 By Sean Lydon Investigation into How Brake Disk Design Affects Cooling Institute of Technology, Sligo
  • 2. Investigation into How Brake Disk Design Affects Cooling 2 ABSTRACT This thesis reports on an investigation of a novel approach to the cooling of brake disks, based on the three different designs. The design features on a brake disk have the capacity of cooling down the disks more efficiently without affecting the disk properties. The disk brake is a device for slowing or stopping the rotation of the wheel, repetitive braking of the vehicle leads to heat generation during each braking event. The author also set out to do some tests on a road at emergency braking to see what heat was generated in a 0.2 km strip of road at 1470 psi of pressure. The law of conservation of energy states that energy cannot be created or destroyed but only changed from one form into another. When two objects are sliding on a surface, friction is created that energy is transferred onto the surface that the moving body is sliding upon. This transferred energy turns kinetic energy into heat energy The testing carried out on the three disks hoped to show that the additional design features on that specific disk would cool down faster than other disk, later the author found that this did not always happen as expected in spite of the added design features. Using a purpose built test jig along with a brake line and additional brake hoses equipped with a pressure gauge the author set out to apply the brakes at a set pressure and a set time to see what heat was generated during that time and then applied the same principles to each set of disks and finally compared all three to see which one was most effective at cooling the disk.
  • 3. Investigation into How Brake Disk Design Affects Cooling 3 ACKNOWLEDGEMENTS I would like to thank all the people that took part in this research and helped me to complete this thesis. I would first like to thank my supervisor Dr David Mulligan for his continued support throughout the year, His knowledge of materials and lab testing apparatus and his guidance on my approach to testing have helped me overcome problems that arose throughout the course of the thesis I would also like to thank my local mechanic Billy Reilly for his extensive knowledge on cars and also the use of his car for my testing. He has also helped me through some issues we had that arose during the testing. Finally, I would like to thank my brother David and my Dad for their assistance during the testing, and the work that was put into to make the brake rig.
  • 4. Investigation into How Brake Disk Design Affects Cooling 4 Declaration of authorship I hereby certify that the content of this project is entirely my own work and is submitted in part fulfilment of the B.Eng (Honours) Degree in Mechanical Engineering at the Institute of Technology, Sligo. Any material adopted from other sources is dully cited and referenced and acknowledged as such. Signed: _______________________ Sean Lydon Date: 25ft May 2016
  • 5. Investigation into How Brake Disk Design Affects Cooling 5 Table of Contents Declaration of authorship............................................................................................ 4 1.0 Introduction .................................................................................................... 7 1.1 Objectives ..................................................................................................... 8 1.2 Methodology.................................................................................................. 9 Chapter 2. 2.0 Literature review........................................................................ 10 2.1 Structural and contact analysis of disk brake assembly during single stop braking event. .................................................................................................................... 11 2.2 Analysis of heat conduction in a disk brake system ........................................ 12 2.1 Design and optimization of ventilation disk brake for heat dissipation......... 12 2.2 Analysis of ventilation disk brake using CFD to improve its thermal performance.......................................................................................................... 13 2.3 Structural and thermal analysis of rotor disk of disk brake .......................... 14 Chapter 3. How does cooling a brake system work? ..................................... 15 Chapter 4. Cooling in brake disk’s ................................................................... 16 4.1 Types of disks and ventilation features ....................................................... 17 4.2 Grooved and vented brake disk .................................................................. 18 4.3 Cross drilled and grooved brake disk.......................................................... 19 4.4 Benefits and drawbacks of different brake disks. ........................................ 20 4.5 Cross Drilled Brake Disk ............................................................................. 21 4.6 Advantages of ventilation in disks. .............................................................. 22 Chapter 5. Drum vs Disk brake braking systems............................................ 23 5.1 Disk and Drum brake comparison............................................................... 24 5.2 Drum Housing ............................................................................................. 25 5.3 Reliability.................................................................................................... 25 5.4 Reliability of braking systems...................................................................... 26 5.5 Deterioration of a Disk brake....................................................................... 27 5.6 Deterioration of brake Disk vs New Disk ..................................................... 28 Chapter 6. Installation ....................................................................................... 29 6.1 Warped disks .............................................................................................. 30 6.2 Brake corrosion........................................................................................... 31 6.3 Methods for suppression............................................................................. 31 Chapter 7. Material selection ............................................................................ 32 7.1 General material performance requirements............................................... 33 7.2 Initial screening of candidate material......................................................... 34 7.3 Material selection using digital logic method ............................................... 35 7.4 Optimum Material selection......................................................................... 36 7.5 Conclusion .................................................................................................. 36 7.6 Ashby’s chart............................................................................................... 36 7.7 Physical Insights ......................................................................................... 37 7.8 Microstructure of cast iron........................................................................... 38 7.9 Lab setup .................................................................................................... 39 7.10 Viewing the specimen.............................................................................. 41
  • 6. Investigation into How Brake Disk Design Affects Cooling 6 7.11 Physical Micro-structure of cast iron untouched ...................................... 43 7.12 Applications and other uses..................................................................... 44 Chapter 8. Testing and analysis ....................................................................... 45 8.1 My approach ............................................................................................... 46 8.2 Testing apparatus ....................................................................................... 47 8.3 Brake pedal rig............................................................................................ 48 8.4 Planning...................................................................................................... 50 8.5 Vehicle and Brake data: .............................................................................. 51 8.6 Static Testing .............................................................................................. 52 8.7 Equipment being tested: ............................................................................. 53 8.8 Test 1 (Standard vented brake disk – worn 151200km).............................. 54 8.9 Thermal Imaging readings .......................................................................... 55 8.10 Test 2 (New standard brake disk) ............................................................ 56 8.11 Thermal imaging readings ....................................................................... 57 8.12 Test 3 (Grooved brake disk) .................................................................... 58 8.13 Test 4 (Cross drilled)................................................................................ 60 8.14 SolidWorks sketches of brake disks......................................................... 64 8.15 Vehicle braking calculations..................................................................... 69 8.16 Vehicle configurations.............................................................................. 70 8.17 Calculations ............................................................................................. 72 Chapter 9. Practice braking tests ..................................................................... 74 9.1 Conclusions................................................................................................. 75 9.2......................................................................................................................... 76 9.3 Brake disk material:..................................................................................... 76 9.4 Brake disk design:....................................................................................... 77 9.5 Brake disk materials:................................................................................... 77 9.6 Recommendations Thermal Analysis (SolidWorks) .................................. 78 9.7......................................................................................................................... 79 9.8 Thermal Analysis Overview......................................................................... 79 9.9 Thermal Analysis Overview (2.0) ................................................................ 80 9.10 Finite element analysis ............................................................................ 81 9.11....................................................................................................................... 81 9.12....................................................................................................................... 82 9.13....................................................................................................................... 83 Chapter 10. References....................................................................................... 84
  • 7. Investigation into How Brake Disk Design Affects Cooling 7 1.0 Introduction Vehicles today whether big or small or how fast they go will need a good braking system to slow down or stop the rotation of the wheel. Cars and trucks need brakes for safety. A disk can be made out of different materials, most common ones are cast iron/steel or ceramic composites. Brake pads are made up of frictional material which is then forced mechanically by a hydraulic ram against the disk. This friction causes the disk and attached wheel to slow down or come to a halt. Newton’s first law also referred to the law of inertia states that “An object at rest will remain at rest unless acted on by an unbalanced force, an object in motion continues in motion unless acted upon by an unbalanced force”. In terms of our braking system, the disk will keep in its state of motion unless acted upon an unbalanced force which will, in this case, slow it down.
  • 8. Investigation into How Brake Disk Design Affects Cooling 8 1.1 Objectives The objective of this thesis is to:  Investigate the different braking systems in a vehicle and their performances  Analyse the results of one practical braking distance test  Complete bench tests on all 3 disks and compare results to road tests  Investigate the various designs of brake disks and their cooling properties  Analyse the data and state which disk has the best rate of cooling  Use the TM3000 electro microscope to investigate the ware on the worn brake disk  Compare all 3 results and show which disk is most efficient
  • 9. Investigation into How Brake Disk Design Affects Cooling 9 1.2 Methodology Research was carried out using the vehicle provided to test the effectiveness of three different vented brake disks to show the heat dissipation of each type and then draw conclusions based on the evidence. The approach taken to accomplish this involved the following steps: Research journal papers that have already conducted this type of work Separate the brake hose from the calliper and connect to tee piece and appropriate gauges Install brake rig to brake pedal as to have a consistence pressure when doing testing Take heat readings using thermal camera to show heat output from brake disks Analyse all date and determine which disk had best rate of cooling
  • 10. Investigation into How Brake Disk Design Affects Cooling 10 Chapter 2. 2.0 Literature review This section of the thesis outlines the research that was carried out in order to understand the heat dissipation of brake disks and how they cope under intensive braking at high pressures.  It outlines summaries of previous journal papers that were carried out on brake disk heat dissipation, be it physical testing or simulated data or both  Research into the comparison between physical testing and/or static testing on brake disk design via heat dissipation.  Investigation into finite element analysis papers to show the simulated data based on heat dissipation of brakes  Investigation into structural and thermal analysis of brake disks the use of CFD to improve thermal performance.
  • 11. Investigation into How Brake Disk Design Affects Cooling 11 2.1 Structural and contact analysis of disk brake assembly during single stop braking event. (Ali Belhocine Abd Ramhim, 2013; Ali Belhocine, 2014) The aim of this was project was to examine stress concentration, structural deformation and contact pressure of the brake disks during the braking phase, other factors which were taken into account was different coefficients and also different speeds throughout the testing. The results than would provide better explanation of contact pressure in a brake disk, (Figure 1 & 2) shows the designer using CFD which provides an effective solution for multiple designs and engineering uses for brake disks and brake pads. Where there is contact in any situation there is frictional heat generated, this causes high temperatures which may in some cases exceed the critical value of the given material, such problems which exist because of bad ventilation lead to undesirable effects. Combined factors leading to failure in brake disks are stopping at high speeds which generate high temperatures over time, poor thermal physical and durable properties. Ventilation is very important in a braking system and poor distribution of heat at the surface of the disk leads to thermal distortion such as coning. The next step in improving the overall structural properties in a brake disk was to model a 3D brake disk and run simulations on it, varying the numerical data so as to get the best possible results one could generate. Figure 1 Shows the thermal deformation Figure 2 shows the thermal elastic
  • 12. Investigation into How Brake Disk Design Affects Cooling 12 2.2 Analysis of heat conduction in a disk brake system (Faramarz Talati, Salman Jalalifar, 2009) In this project, research was done using heat equations for the brake disk and the brake pad to calculate the heat generated which are variables to time and space. Such areas to be covered are duration of braking, vehicle velocity, geometrics and the overall sizes of the disk, other factors such as disk material, contact pressure have been taken into account. The main objective here is to eliminate the high rising temperatures and brake fluid vaporization. Repetitive braking such as descending down a hill will lead to temperature rise which in turn will reduce its thermal performance. Results revealed that maximum rose more with uniform pressure than that of uniform wear, the reason this happened is that with uniform pressure the high friction and work done tends to rise more rapidly as the radius increase while with uniform wear it does not vary with the radius. Design and optimization of ventilation disk brake for heat dissipation This involves research and analysis behind why brake disks heat up. Braking is the process of converting kinetic energy of a moving body into heat energy. During this process friction is generated and used to slow down or stop the moving body. In (Figure 3) the heat generated from this friction produced is stored in the disk and later released into the air, repetitive hard braking cause’s thermal stress in the disk multiple failures such as premature wear, elastic instability, brake vibrations, in order to address these issues ventilation has come into consideration. Various designs on a brake disk are used to remove this heat along with ventilation along the rim of the disk. The 3D model can be done by SolidWorks and the analysis was done by a software known as ANSYS, which is a special programme used for determining the temperature distribution and deformation of the disk. The best result will be based on magnitude of von misses stresses, temperature distribution and deformation. Figure 3 shows thermal stress
  • 13. Investigation into How Brake Disk Design Affects Cooling 13 2.2 Analysis of ventilation disk brake using CFD to improve its thermal performance (Ali Belhocine, Mostefa Bouchetra, 2013) This journal took an approach to investigate the thermal performance of brake disks and study of fluid flow characteristics. This will be done by calculations alongside the use of test data available for existing designs and heat transfer and air flow rate of the disk. (Figure 4 shows how air flow is passed over/through the brake system while the brake disk was in motion, the heat that was generated escapes through the vents in the disk and is replaced by the cold air that enters through the vents.  Rate of heat dissipation for the disk surfaces  Mass flow rate through the disk passage  Temperature uniformity on all the disks surfaces  Detailed aerodynamics of the air flow through the passage The project was then divided into three steps, the model creation, and mesh generation and CFD simulation. Figure 4 Air flow analysis
  • 14. Investigation into How Brake Disk Design Affects Cooling 14 Methodology included modelling the part and its 20 degree sector, next a mesh is created so that FEA can be simulated. Boundary conditions is next set and divided into three domains, 1): Fluid stator, 2): fluid disk outer, 3): fluid disk inner, next some values have to be set these are ambient temperature, ambient pressure, temperature, and RPM. The final step is validation, this is bringing all previous together and obtaining results. From obtaining the results, heat dissipation was calculated using values such as speed, mass flow rate, heat transfer coefficient. 2.3 Structural and thermal analysis of rotor disk of disk brake (Suresh, 2013) This journal looked at repetitive braking and its effects on the brake disk. Repetitive braking leads to high heat generation during each braking event. Software such as thermal analysis helps to diskover these types of problems and how it can affect the disk properties under these hoot temperatures. Transient thermal and structural analysis of the brake disk is aimed at the performance of the disk of a car under repetitive braking conditions, and from there it will assist in disk design and analysis. The main body of this research is to analyse the thermomechanical behaviour of the dry contact of the brake disk during repetitive braking. If study was done on a wet contact surface area it would give inaccurate results or rather different results to what we are looking at, since as the water or air would cool the disk and the designer would not see how effective the disk is at handling high temperatures.
  • 15. Investigation into How Brake Disk Design Affects Cooling 15 Chapter 3. How does cooling a brake system work? First off we must understand what the actual brakes do in a car, and then we will talk about how they work and what differs from other ways of cooling. Any vehicle moving at high speeds will need a braking system, some methods require different approaches, it really depends on what vehicle you are trying to slow down or stop for example, your car or bike will use the latest disk brakes while older models had drum brake, these do the same thing but one more efficient than the other. There are many reasons why cooling is important in brakes. Improper cooling results in faster wear and can/will lead to thermal stress/failure in brake disks. Brake fluid is the other important component in the brake system. Repeated braking will incur high temperatures and if this is not dissipated it will cause the temperature of brake fluid to rise. Brake fluid absorbs water from the atmosphere and as it does the boiling point drops. Brake fluid has been known to boil a serious effect – total loss of braking power, the gas from boiling fluid is compressible. When fluid cools brake performance returns to normal. In the light of that it is important to dissipate heat as efficiently as possible, it is also important to always have the appropriate brake fluid to suit your car’s performance and to change brake fluid at least every 2 years.
  • 16. Investigation into How Brake Disk Design Affects Cooling 16 Chapter 4. Cooling in brake disk’s In a braking situation a few things are happening, first off the kinetic energy that is generated from the pads that bite the disk is converted into heat energy. Some of the heat is absorbed by the disk itself which is why we see in some cases the disk glowing red, this would be seen more in high performance cars where high speeds are happening in short periods of time, but also in trucks because of the weight involved and the weight transfer to the front, the brakes need to withstand these massive loads at any given time. As a rule “the rate of heat loss via convection is directly proportional to the surface area”, any features in the brake disk such as grooves or drilled holes increase the surface area and also increase the rate of heat loss. For vented disks such as the types that the author worked on had both vents, grooves, and drilled features, while these additional features also make the disk look better atheistically they also provide better cooling while wear rates are reduced in the long run. In these types of brake disk’s the air that enters the disk through the vents by rotary motion cools the disk and disperses the heat and gases which otherwise could cause trouble or cause an accident to the driver unknowingly.
  • 17. Investigation into How Brake Disk Design Affects Cooling 17 4.1 Types of disks and ventilation features This was the first type of brake rotor that the author used during testing and to compare its cooling properties to the others, was a standard vented brake rotor and was vented only, the author later will show the other 2 types that he used. This type is commonly used for the everyday road car, properties of this disk will help keep the disk cool as no major temperatures will be involved for the type of car on which it is used. The brake rotor is also more efficient at removing dirt and water than the solid disk which has no vents but just a solid mesh all around the disk. Figure 5 shows a standard brake disk Figure 6 Straight vanes ventilation
  • 18. Investigation into How Brake Disk Design Affects Cooling 18 4.2 Grooved and vented brake disk This was another design that the author choose to demonstrate his analysis in brake disks that had additional features to improve cooling or heat loss rates. This brake disk will offer more improved performance in cooling the disk when high temperatures are acting on the disk, other advantages of this type include cleaning the surface pad faster than normal due to the additional design features, the disk also offers more bite so this means that it has better stopping power than your normal brake disks, this is important for heavier vehicles and high performance cars when sudden braking may apply, for example if the more powerful car is on track and suddenly needs to brake when approaching a sharp corner, the car will need to slow down quickly and efficiently otherwise it will crash, but the main reason is to slow down the car quickly while dispersing the heat generated in the disk. Below shows (Figure 7 & Figure 8) the outside surface of a grooved brake disk and how alternative internal vents may look like apart from the usual straight vane. Figure 7 Alternative vented disk Figure 8 Surface of a grooved disk
  • 19. Investigation into How Brake Disk Design Affects Cooling 19 4.3 Cross drilled and grooved brake disk This was the author’s 3rd and final choice in his research, the brake disk below shows a disk with both grooved and drilled where the above had only grooved features. The holes and grooves allow more surface contact with air that will be passing through to cool the disk faster, the reasons why disks need to stay cool is because under these stress conditions the disk could warp over time and cause vibrations in the foot pedal, which is an sure indicator that your disk is warped. More seriously, under sever heating the disk could disintegrate. Another important note to state is although roughly 20% is removed from the disk making it lighter, it also reduces the amount of friction by 20% too because there is no surface contact where the pad meets the drilled holes no friction can occur. While the disk does look pleasing to the eye it does serve an important role none the less. With the directional vanes the disk acts as a propeller or pump, sucking in the air and maintaining good flow rates keeping the disk cool. Below shows my final testing brake disk which features grooves and drilled surface features. Figure 9 showing the surface of cross drilled disk
  • 20. Investigation into How Brake Disk Design Affects Cooling 20 4.4 Benefits and drawbacks of different brake disks. For my testing I am investigating the cooling properties of each brake disk and examining how each one performs under applied braking force over a period of time. Brakes of course have one main function, to slow you down and stop you running into the car in front of you, the factory brakes on your car provide ample performance and while they may be good on the everyday commuter vehicle other drivers such as the performance enthusiast needs an upgrade, either from drilled or drilled and slotted.  Smooth Brake Disks 99% of new cars come with a set of factory brake disks from the factory and provide the most surface area vs drilled or slotted disks and because of that, they are very effective at acting as a heat sink. Another design feature would be that they are less prone to cracking under the extreme heat conditions that they might go under, and also have a high boiling point for brake fluid but this can depend on your type of brake oil and as well as other factors such as your type of pads.  Slotted/Grooved Brake Disks These got their name simply because of their design features, they have grooves cut along the face of the disk. Under repetitive heavy the temperature will increase dramatically on road conditions, and a layer of gas and dust will form between the pad and disk which comes from the brake pads that rubs off when in contact with the disk. The slots allow for escape route from this built up which in turn offers more pad bite and lower temperatures. They also have higher coefficient of friction because of more contact area which is good because you are using less energy to slow the vehicle down.
  • 21. Investigation into How Brake Disk Design Affects Cooling 21 4.5 Cross Drilled Brake Disk The cross drilled disks offer more or less the same principles as the grooved disks, outgassing and less dust build more is less of an issue as technology progresses. The drilled holes act as more of an aesthetic choice more than offering improved performance, none the less they still provide dust build up from pad and disk contact. The temperatures that the everyday family car will come nowhere close to the performance enthusiast that he will incur on a track, so the ventilation properties of the cross drilled offer these added benefits at keeping temperatures down and have longer pad life and also improved wet-weather performance by allowing water to escape the rotors surface. Figure 10 Slotted Disk, Autoanything.com Figure 11 Smooth Disk, Autoanything.com Figure 12 Cross drilled Disk, AutoAnything.com
  • 22. Investigation into How Brake Disk Design Affects Cooling 22 4.6 Advantages of ventilation in disks. Ventilation in brake disks is very important as I have already stated above, under all conditions wet or dry your braking system needs to be at its best, so what is the purpose of ventilation? 1) The disk absorbs some of the generated heat and can cause it to expand, ventilation acts against this. 2) It provides routes for water to disperse more quickly 3) It provides space for your brake dust to disperse While all these additional features on a disk are designed to do a specific job they can also lead to problems that you wouldn’t suspect. They are designed to remove heat but the cross drilled holes can cause cracks and lower its yield stress. For these reasons the cross drilled disks are mainly used for heavier vehicles and some high performance cars Figure 13 Ventilation in Disks,. Au/kangaroo-paw-ventilation
  • 23. Investigation into How Brake Disk Design Affects Cooling 23 Chapter 5. Drum vs Disk brake braking systems In a drum brake braking system the surface area covers roughly 50% of the walls of the drum assembly. How the drum brake works is by pushing the brake shoes against the wall to slow down the rotation of the wheel. This, like the disk brake is done by hydraulically actuated pistons and shoes are guided by a return spring assembly. The disk brake on the other hand is also hydraulically operated but only covers about 10% of the surface area but can offer more bite due to the pressure generated by the hydraulic fluid pushing larger pistons against the pads on both sides of the disk. This system is based on Pascal’s law which states “Pressure exerted anywhere in a contained incompressible fluid is distributed in all directions throughout the fluid”. To put in simple terms the brake calliper assembly uses the hydraulic force from the brake pedal to pump a piston which squeezes the brake pads to the disk surfaces, creating friction and decelerating the wheel. The calliper frame has a banjo fitting through which the fluid will push the piston and force the pads in an outwards direction. The pressurized fluid from the pedal is capable of pushing the piston with great force. When you apply the brake, the calliper will receive the high pressure hydraulic fluid from the brake master cylinder, the fluid then will push the piston which makes the inner brake pad squeeze against the disk surface, as a result the pressure backward force will push the calliper frame along the side pin which makes the outer brake pad to squeeze the other side of the disk. This system is known as sliding calliper system, on higher performance cars there can be pistons on both sides of the calliper instead of a sliding system. Figure 14 Disk Brake Assembly, Mr Engineer.com
  • 24. Investigation into How Brake Disk Design Affects Cooling 24 5.1 Disk and Drum brake comparison When drum brakes were first used, they were used on all four wheels of car before the disk came into existence. It got its name from its design, the system is housed in a drum that rotates along with the wheel. When a car is accelerating and wants to slow down there is a set of shoe’s that are pressed against the wall of the drum, when the foot pedal is pressed the shoe’s would be forced against the drum thus slowing it down. In most modern cars disks are used in the front while drums are used in the rear. Probably two reasons for this, less expensive and easier to accommodate parking brake. There are advantages and disadvantages of each type but the braking system which shows the most promise is the disk brakes all around because it can produce more braking power and greater force to slow down the rotation of the wheel. The harder you press the brake pedal the harder the calliper will squeeze the brake pads against the spinning disk with less danger of locking the wheels than with drum system. Locked wheels lessen braking efficiency and lead to loss of control. Figure 15 Disk and Drum Design, Arrc.ebscohost.com
  • 25. Investigation into How Brake Disk Design Affects Cooling 25 5.2 Drum Housing Pictured below is a drum brake disk encased in its shell, the author has chosen this image to show ease of use vs the disk and its parts. As you can see the drum brake is more awkward to work with for a number of reasons. 1. To view the moving parts you have to remove the shell which is time consuming and something which is not just loosen with a bolts or clips especially if it has rust taken a beaten over the years. 2. Case can become seized over time making it harder to come off 3. Slower in response time compared to disk braking system 4. Not as efficient at dissipating heat as disk disk’s 5. Need more braking distance compared to a disk 5.3 Reliability Figure 16 Drum Housing, Edmunds.com
  • 26. Investigation into How Brake Disk Design Affects Cooling 26 5.4 Reliability of braking systems Next I would like to talk about the reliability of both braking systems, disk brakes have the advantage of better stopping power. While drum brakes, like disk brakes, have a hydraulic system they are not as powerful as the setup in disk brakes because drum brakes tend to lock and make the vehicle unstable, therefore pressure to drums has often to be limited. The main reason why disks are used at the front in today’s modern cars is because of the weight transfer to the front so therefore you need more stopping power at the front than you do at the rear. For drum brakes the moving parts may be smaller and more compact but still don’t offer that stopping power that disks do. They are also more susceptible to warping and brake fade due to the high temperatures. The high temperatures that would be generated have nowhere to go and so are absorbed by the material itself thus warping the disk or damaging it in some way over a shorter period of time. Maintenance is also done at shorter intervals and needs a lot cleaning because of the dust residue build up from the shoes that are kept inside the casing. Disk brakes need more hardware and more hydraulic pressure to get the full potential of the brake but are in many more ways more efficient at slowing down your car than the drum brake Disk brakes needs more hardware and more hydraulic pressure to get the full potential of the brake but are in many more ways more efficient at slowing down your car than the drum brake. Figure 17 Disk and Drum reliability
  • 27. Investigation into How Brake Disk Design Affects Cooling 27 5.5 Deterioration of a Disk brake In today’s society a lot of people expect parts to last forever but that is not the case, parts in the manufacturing industry are designed to fail after so long but are still manufactured to reasonably safe specifications, below the author has shown what happened after the brake pads had being used long after its life expectancy. The pad below has been worn down to the bare metal which is not a good idea, given you will have little to none braking power in the front and a possibility of welded brake disk, again a dangerous situation if it were to happen driving along at 60 kph. There will also be greater heat generated and much higher chance of Disk disintegration. Figure 18 Brake Pad deterioration, MBworld.org
  • 28. Investigation into How Brake Disk Design Affects Cooling 28 5.6 Deterioration of brake Disk vs New Disk On the left you can see that the Disk has rusted away and looks pretty seized up vs a new furbished one on the right. The left Disk could have brake dust built up and other dirt particles built up inside, which will need cleaning to be able to perform at its best efficiency. Another reason why disk (A) looks rusty could be from lack of use, when it’s in use again it should start to look little like disk (B). Another indicator as to when you should change your brake pads is when you hear a squealing noise, this is not to be confused with noise often heard when they are first installed as they will make some squealing noise due to the film on the brake pads and disk, you should not always rely on this and should inspect them every 10,000 miles or so. Often some people just replace the parts that have broken or worn away but when doing the brakes it is also recommended to change the brake fluid at least every two years. Figure 19 Disk pad deterioration Figure 20 Disk Pad refurbished
  • 29. Investigation into How Brake Disk Design Affects Cooling 29 Chapter 6. Installation Here I would like to talk a little about installation and what issues might arise if they weren’t install in the correct manner. Fitting, bedding in and tips to avoid warped Disks The following below is quoted from an instruction manual that came with a set of brake disks that we bought to use for testing, on how to avoid warped disks Give the reference to this,,,, “When using disks always make sure the mounting surfaces of the disks and the hubs are spotlessly clean, failure to do so can result in run-out which lead to warped or juddering of disks”. “Run-out should be a maximum of 0.005 or 0.15mm when measured on outer edge”. “The way disks are manufactured means new disks are very unlikely to be warped, but if you do find run-out when fitting then simply reposition the disks on the hubs, rotate to the next whole location”. “It is crucially important that run-out is minimised at the fitting stage, as if there is run-out now it can lead to variation in thickness at a later date that will cause juddering”. “You should make sure all callipers and sliding pistons are free to move. Any binding can lead to overheated disks and pads and even bearings” “Bedding in will take around 200 miles, this will allow the pads to establish a good footprint on the disks with even coverage. For the 1st 200 or so miles avoid emergency or heavy braking”.
  • 30. Investigation into How Brake Disk Design Affects Cooling 30 6.1 Warped disks It is nearly impossible to warp disks from normal/slow road use. Vibration through the steering wheel is mostly caused by brake deposits sticking onto the disk. This can occur after some braking and particularly if stopped when the disks and pads are hot. If at all possible avoid sitting for prolonged periods with the brake pedal applied, or even the handbrake. If you think you have pad deposits on the disks then you can remove them by doing serval hard braking procedures in a row and again avoid sitting at the end with the brakes applied. Drive for 1 or 2 miles to allow the disks and pads to cool in a constant manner. Different pads have different temperature ratings. When this operating range is exceeded you can get vibration and juddering. This is simply the pads getting pushed back off the disks when the pedal is applied. Allow the brakes to cool down and all should be ok. Figure 21 Warping caused by uneven wear, bimmerfest.com
  • 31. Investigation into How Brake Disk Design Affects Cooling 31 6.2 Brake corrosion Dust and rust can cause serious issues down the road if left untreated. Both can occur at any stage and only worsen if it isn’t looked after. Dust formed from the abrasion that happens between the disks and brake pads due to the braking occurring. That does not necessarily mean that there’s a problem straight away, after all you will expect to see some brake dust coming from your pads from the contact that happens between the two surfaces, although do not take this lightly as it will and has caused issues such as alloy corrosion. Other problems such as vibration, squealing can happen also and can sometimes but not always be an indicator that something is wrong with your braking system. 6.3 Methods for suppression Brake Pads: While some brake pads produce more dust than others for the obvious reasons such as disk diameter, weight of vehicle, and type of braking system, but more than not most cars will generally produce the same amount of brake particles and dust. As I have states in a previous section like on the smooth disk dust particles will build up and offer less bite and lose some braking performance.
  • 32. Investigation into How Brake Disk Design Affects Cooling 32 Chapter 7. Material selection Material selection has become an important factor when choosing a material to suit the environment and the conditions that it will be put under for the obvious reasons such as, reduced life expectancy or brake fade occurring as the cars speeds down the road and may need to do an emergency stop or if repetitive braking is occurring the disk will incur high temperatures. There are also other factors included such as reduced weight of the car and fuel efficiency, such lightweight material would be aluminium used in lighter cars or perhaps motorcycles. These materials have a lower density but a higher thermal conductivity. The most important factor when considering material selection would be safety and its ability to withstand high friction and wear properties, other areas to consider is velocity temperature, environment and high durability. There are 4 stages of considering when selecting a material, I will discuss these below. 1. General material performance requirements 2. Initial screening of selected material 3. Material selection using digital logic method 4. Optimum material selection Upon research I have seen that this is one type of application for material selection, I have seen other methods which have done more work for selecting the material or done fewer steps but also achieved the same result.
  • 33. Investigation into How Brake Disk Design Affects Cooling 33 7.1 General material performance requirements This involves research done about the actual braking system in a car, the stopping system used to stop the rotation of the wheel. The brake system generates a high braking force either through mechanically or hydraulically clamping pads onto the disk and slowing it down, friction is than generated upon braking power. Different materials have different frictional properties, the higher the coefficient of friction the more braking power will be induced. For all disk brakes, they need the pads to push against them to slow the car down Figure 22 Vehicle Braking system, google images
  • 34. Investigation into How Brake Disk Design Affects Cooling 34 7.2 Initial screening of candidate material Most cars on the road today that have disk brakes installed have a cast iron type of material. Cast iron weights in around 6800-7800 kg/m3 while Aluminium is 2712 kg/m3, but because it of more practical properties cast iron is the most suitable material for disk brakes. Cast iron does cost more but it is easier to manufacture than other materials, most importantly it has higher thermal stability thus making it a suitable candidate for it’s this purpose. Aluminium was also shown as a promising type of material for disk brakes but further research ruled this out. Aluminium is a lighter material with low density and saving weight reduction on the car up to 50-60% but testing proved that repeated braking lowered the coefficient and cause significant wear of the brake pads thus lower its life expectancy. Following other tests which involved adding/mixing more particles to the aluminium composite only resulted in more cost and more time to achieve the level of results got with the cast iron disk.
  • 35. Investigation into How Brake Disk Design Affects Cooling 35 7.3 Material selection using digital logic method This method involves research done for what is the optimum material for its intended purpose using a specified ranking. A list of 5 tables was drawn up and marked accordingly for its values giving the result either a 1 or a 0 for a desired number of tests, (1) Compressive strength, (2) Friction coefficient, (3) Wear resistance, (4) Thermal capacity, (5) Specific gravity  Table (2) Weighting factors for brake disk Further test scores for the chosen material. Property Positive decisions Weighting factors Compressive strength 1 0.1 Friction coefficient 3 0.3 Wear resistance 3 0.3 Thermal capacity 2 0.2 Specific gravity 1 0.1
  • 36. Investigation into How Brake Disk Design Affects Cooling 36 7.4 Optimum Material selection Here the researcher is trying to improve the overall performance of the best suited material, meaning that all other candidates must perform at a higher level than the currently used material if it were to be accepted. 7.5 Conclusion The selected material is then used for the design and application of automotive brake disk. All results were taken into account and then used for future references. They then could use these results if current standards were not up to use at a later date due to the continual change in design and technologies. 7.6 Ashby’s chart Ashby’s materials selection chart is a novel graphical way of presenting material property data. Figure 23 shows Ashbys Chart
  • 37. Investigation into How Brake Disk Design Affects Cooling 37 7.7 Physical Insights Stiffness measures how much something stretches elastically when a load is applied. Young modulus measures stiffness and is a material constant. Young modulus and density both depend on the atomic packing within the material, and Young modulus depends on the type of bonding between the atoms. The metal and polymer bubbles are small – this is because the material composition and processing do not have a significant effect on density or Young modulus.
  • 38. Investigation into How Brake Disk Design Affects Cooling 38 7.8 Microstructure of cast iron During my research and before any testing had commenced I had done a lab investigating on the microstructure of a worn Grey Cast iron disk. The brake disk below is a standard disk that had covered 150,000 km and that was tested with the original brake pads. Further testing that I had completed with other disk sets will be discussed later. A section was cut from the test sample and put under the electronic microscope which we used to view the microstructure at a magnification of 30,000. Figure 24 Rusted Disk Surface Figure 25 Side View
  • 39. Investigation into How Brake Disk Design Affects Cooling 39 7.9 Lab setup Procedure: (1) start up the microscope, (2) Prepare a sample, (3) Place a specimen on the stage, (4) observe an image, (5) Save an image, (6) Finish the observation, (7) Shut down the microscope Items to prepare: (1) Sample, (2) Conductive double sided tape, (3) tweezers, (4) Specimen stub, (5) Specimen holder, (6) Height gauge (1) Starting up the microscope: Turn on the earth leakage breaker in the back of the main unit Turn on the power switch on the right side of the main unit to start the device The evacuation will start automatically when the EVAC LED (blue) on the display panel blinks. When the AIR LED (yellow) lights, press the EVAC AIR switch to start the evacuate EVAC LED (blue) lights when the evacuation ends Figure 26 Sample cut for viewing Figure 27 Sample viewed on electro Microscope
  • 40. Investigation into How Brake Disk Design Affects Cooling 40 (2) Prepare a specimen Bulk sample (Conductive/Non-conductive) (In this case, our sample is cast iron and is conductive) (1) Stick the conductive tape on the specimen stub and attach the specimen (2) Set the specimen stub in the specimen holder and adjust the interval between the specimen surface and the height gauge to about 1mm (3) Place a specimen on the stage (1) Push the EVAC/AIR switch in introducing the air into the specimen chamber. After introducing the air in the specimen chamber, the status the status of AIR/LED (yellow) changes from blinking to stationary (for 1 minute) (2) Draw out the specimen stage slowly, and set the specimen holder. Turn the XY knob of the specimen stage, and adjust the specimen stage to the centre. (3) When observing at high magnification or a heavy specimen, use the provided ball wrench to fix the specimen holder. (4)Tighten the hexagon socket head screw with the ball wrench to fix the specimen holder. (5)Close the specimen stage was drawn out. Press the EVAC/AIR switch to evacuate the specimen chamber with the specimen stage when the EVAC LED blinks (blue). You are now ready to view your specimen.
  • 41. Investigation into How Brake Disk Design Affects Cooling 41 7.10 Viewing the specimen I have put together a few images after viewing the worn brake disk at a magnification of 30,000. Here I will show what the disk looks like after it had 150,000 km done. Normally your typical brake disks will need replacing anywhere from 15,000-70,000 (about 113,000 km) but this also depends on your driving style and type of pads, some disks can last longer whereas other’s will need changing sooner. For our brake disks and brake pads, it was time to change them as you may have seen how worn or damaged the disk had become. As a rough guide if the lip on the outside edges is less than one sixteenth of an inch or 1 mm there is still life in your disk. Fitting new brake pads along with a new disk will require about 1000 miles to bed them in, do not fret about them being noisy at this time as this is completely normal if fitted correctly. If you wish to avoid some of this problem you could skim the disk about 0.0005 inches on a lathe to address this issue although it is not a requirement and should be avoided. Fig (1) Fig (2) The above photos were taken from the electronic microscope TM3000 at a magnification of 30,000. (Figure 1) shows little surface cracks and scratches that the disk had incurred over the course of it life span. Although we expected to see a lot more damage done than this we were surprised that at the mileage completed the damage was only starting to show from that point onwards. The conclusion the author could gather from this, is that the car was not under severe braking forces while this disk was in use.
  • 42. Investigation into How Brake Disk Design Affects Cooling 42 In (Figure 2) it shows a more close up inspection, at this level of magnification we were able to measure the width and length of any crack the disk had. Below I have shown a 3D image with dimensions measuring the various cracks and dents that this surface had endured. Although we weren’t able to measure the depth of the crack, we were able to measure other dimensions such as length and width. For clarity reasons we had to clean the surface of the test sample (Figure 2) as there had been residue left over such as dirt and dust from the brake pads. The author had to be careful as not to leave any new scratch marks when cleaning the surface with sand paper as it may be mistaken as a flaw when viewing it under such high magnification. Figure 1 Figure 2 To the left is a specimen that the author has cleaned and polished to a better standard so that he could see the defects much clearer. This specimen is almost indistinguishable from the atomic structure of cast iron which is shown on the next page.
  • 43. Investigation into How Brake Disk Design Affects Cooling 43 7.11 Physical Micro-structure of cast iron untouched Below is an image of the microstructure of cast iron. It is very similar to the microstructure that I had viewed above using the microscope, almost indistinguishable from a damaged-free cast iron sample. It has a flake like form with nodular nodes in its appearance. It also has a worm like or vermicular compacted-graphite shape. To the left is an image of the atomic structure of cast iron, just like the clean sample above it is hard to see what is what, Because the old worn hadn’t taken much damage the grain structure hadn’t changed, leaving the viewer unsure if it was a worn sample or not.
  • 44. Investigation into How Brake Disk Design Affects Cooling 44 7.12 Applications and other uses Cast iron is widely used in structural and decorative applications, it is cheap, durable, and easily manufactured and also casting it into varieties of shapes. Other uses include hardware, buildings, tools, piping. It is extremely strong and durable when used appropriately and if protected from harsh environments. Its properties allow it to be stronger in compression than tension for example the brake pads squeezing against the brake disk receives compression forces. As strong as cast iron is, if exposed to moisture and oxygen it can develop problems such as rusting which is unavoidable if precautions are not taken.
  • 45. Investigation into How Brake Disk Design Affects Cooling 45 Chapter 8. Testing and analysis To put the author’s thesis into perspective he set out to investigate how brake disk design affects cooling, to do this the author bought 3 new brake disks each with their own distinct design for improved cooling. The author then set out to start his testing on a car because he felt that this would be the best way to mimic his braking situation’s, rather than setup the brake disk’s on a lathe and apply a brake. Unfortunaly when I went out to see an airport strip to my testing I was declined because of safety and insurance reasons, I then went and did half my testing both on a closed road and in my garage with the front of the car supported as to let the wheels freewheel. By using a car my results would be very similar to those induced out in the open road but because I had no airflow coming in at the wheels while testing in the garage the results will be slightly different. Figure 1, 2 & 3 show 3 brake disks that will be tested on
  • 46. Investigation into How Brake Disk Design Affects Cooling 46 8.1 My approach The aim of my thesis was to investigate the heat dissipation between different brake disks’s, to do this I had to purchase special equipment to take heat readings. Speaking to the specialist’s in the college they had told me to purchase a thermal imaging camera. What this does is take heat readings at a close range displaying in degrees’ and also displaying how hot or cold an object is in colours from red (hot) and blue (cold). This piece of equipment proved to be very useful in my experiments as the main objective in my thesis was to analysis the heat dissipation in brake disks. Figure 29 Flir Imaging camera Figure 27 Thermal imaging camera
  • 47. Investigation into How Brake Disk Design Affects Cooling 47 8.2 Testing apparatus During my testing I had been asked to investigate the total braking force in a car, this came simple enough to test, I had expected that the full braking force in the braking system would be quite high so I purchased a pressure gauge up to 1500 psi, lucky enough the car’s braking pressure maxed out at 1470 psi. For my static testing I bought smaller pressure gauges so that I knew what pressure I was applying and that it remained constant at all times, I will explain more in detail about this later in the process. Another important factor to note about these gauges is there is a nip at the head of the gauge that has to be cut to allow air in and out so there wouldn’t be a build-up of pressure inside the unit. We split the brake line at the flexible hose so we could insert the pipe with the pressure gauge. Figure 29 1500 Pressure gauge
  • 48. Investigation into How Brake Disk Design Affects Cooling 48 8.3 Brake pedal rig Figure 30 & 31 shows the brake Rig used during testing
  • 49. Investigation into How Brake Disk Design Affects Cooling 49 In the beginning we hadn’t initially on intended to use a rig but we quickly realised this was needed to help provide a constant pressure it would provide a constant pressure for us while we provided the acceleration ourselves. Through SolidWorks it saved us some time physically making other rigs that may not be as suitable as the rig above, with SolidWorks we could change it to whatever size or shape we needed with a click of a button. This was a purpose built rig that had to be fitted to the car as shown. Its purpose was simple, it would act as a piston or lever that was adjustable in and out via a screw. When the author was doing the testing we had to have a constant pressure applied to the brakes when we were taking heat readings, just as we did in our emergency braking situations otherwise we our results would be meaningless, our investigation was to apply the same pressure across all brake disks and then compare all the results and write our conclusions to say which one had the most best rate of cooling. The only job in this situation was to press the accelerator for the given time which we had in mind, our speed was measured via the car’s speedometer according to our set speeds during the testing. This was our pressure gauge set up along with our brake pedal rig. Through this we could set our brake pressure and see what pressure was applied via our gauge. We had to have it setup on the passengers door so that the driver could see what pressure he was setting, once set to 50 psi, it was set for the whole of the testing, the only thing to do was control acceleration. Figure 32 Pressure gauge setup
  • 50. Investigation into How Brake Disk Design Affects Cooling 50 8.4 Planning When we first started testing, the car which would be tested on had already one of our test disks so we decided to begin road testing on that and then compare these results without static testing and see do they match or show any differences. For our 1st experiment we used the new grooved and drilled brake disk’s, at this stage it didn’t matter which ones were on because we had decided to compare road tests on all new disks with our static testing which I will explain later. The idea here was to do emergency stops at different speeds and see what heat was generated and later then to compare which disk had the best rate of cooling. While doing research on my thesis throughout the year I had expected that the disks with the additional features to dissipate the heat quicker but after some analysis and testing I found that this was not the case. An important factor to note is that all disk disks will incur some heat in them without the driver touching the brakes, this is because of the slightest surface contact area between the brake pads and the disk’s. Below I have a table showing emergency stops at different speeds, I have recorded several factors during testing that could affect the experiment in some ways such as weight, speed, distance. All starting temperatures are recorded both at beginning of the testing and exactly after the car has stopped, this is to get a heat reading as precise as we can. As you can see below the faster the car went, the more heat was generated in the disks Figure 33 First Testing analysis
  • 51. Investigation into How Brake Disk Design Affects Cooling 51 8.5 Vehicle and Brake data: Vehicle Characteristics mVehicle Mass 1266kg Brake force Distribution 60:30 Brake Application Characteristics Initial vehicle speed 80 km/h (22.22 m/s) Duration of brake application 30 s Initial Brake temperature 15 degrees Celsius Front Brake Disks (Solid) Disk outer diameter 280 mm Disk ring inner diameter 15.5 cm Disk Thickness 20 mm Number of Vanes 28 Figure 34 Car which was tested on
  • 52. Investigation into How Brake Disk Design Affects Cooling 52 8.6 Static Testing Now that we done some road testing, we are now going to do static testing but with same principles involved. Below I have listed out all the apparatus that will be used throughout the testing. Test equipment: 1. Jig for keeping constant pressure on brake pedal/accelerator pedal 2. 2 flexible brake pipes, standard fitment 3. 4ft length of copper brake pipe 4. Tee piece, standard brass as used in motor vehicle brake circuits 5. Male to male connector, again standard in brake circuits, to connect female to female pipe endings 6. Number of fittings to enable connection of flexible brake pipe to gauges, supplied by Pirtek, experts in supply and manufacture of hydraulic and brake pipes 7. Gauges covering range from 0 to 1500 psi
  • 53. Investigation into How Brake Disk Design Affects Cooling 53 8.7 Equipment being tested: Brake disks as follows: $ Standard brake disk having covered 150,000 kms, tested with existing brake pads $ New set of standard brake disks, made by Mintex $ New set of high performance grooved disks made by high performance disk manufacturers Mtec. $ New set of high performance grooved and bored disks made by high performance disk manufacturers Mtec. $ New disks tested with new high performance eco-friendly pads made by EBC. New pads were bedded in for approx. 600kms as recommended by manufacturer.
  • 54. Investigation into How Brake Disk Design Affects Cooling 54 8.8 Test 1 (Standard vented brake disk – worn 151200km) For our first static testing as shown the old worn vented brake disk was tested before the new standard one, the reason this was done was to compare its rate of cooling at this stage with a new disk that had no wear on it. Also the worn brake pads were used for this test and to be compared with the new brake pads. The table above shows that heat readings were taken at the start and at the end while keeping the same pressure across the board and the time so that the results could be as accurate as possible for all disks. If I applied different brake pressure to the disks than my experiment would have no meaning, again like I have said before, the same pressure was applied for the testing to get as accurate results as can be. Because we had done emergency stops on our road test we want to mimic the idea here on our static testing. Figure 35 Worn Disk Figure 36 Worn Brake Pad Figure 37 First Bench test results
  • 55. Investigation into How Brake Disk Design Affects Cooling 55 8.9 Thermal Imaging readings Below is a graph of the first test we did, the top row indicates the speed while the blue line indicate the starting temperature and the orange line indicates the end temperature. 20 Start Temp 14.2 15.6 24 30.5 End Temp 15.6 24 30.5 48.7 0 10 20 30 40 50 60 Test 1 Start Temp End Temp 40 60 80 Here I have displayed all the thermal imaging of the results that the author obtained during testing. Do you know notice the hot air escaping through the vents of the brake disk? Figure 38 Test 1 results Image 1-5, Thermal imaging heat readings
  • 56. Investigation into How Brake Disk Design Affects Cooling 56 8.10 Test 2 (New standard brake disk) Below the author is testing the standard brake disks and new brake pads, the previous test had the same disk and pads but were worn and had 151200 km on them. As I stated back in my lab testing where I viewed the specimen under a microscope I also compared the worn material vs the new material to show the subtle differences. As shown above there is considerable difference between the new standard disks and the worn one’s, this could be for different reasons such as worn brake pads not making full contact at all times with the disk, either way the author was surprised to see that the old disks did not heat up as much as the new ones. Figure 39 Bench test No.2 Figure 40 Standard Brake disk Figure 41 Graph for bench test
  • 57. Investigation into How Brake Disk Design Affects Cooling 57 8.11 Thermal imaging readings Above are the results that were obtained using the thermal imaging camera from the new standard brake disks. Surprisingly the new disks heated up quicker than the worn disks. The time period between each result was 30 seconds. What’s important to note here us that the heat is escaping through the vents as shown in the last 3 images. The last image shows the whole disk heating up to 138 degree’s, this might happen because on this disk here doesn’t feature additional ventilation features like the other 2 test disks that we will be explaining later on, such as the grooves and cross drilled disks Image 1-5 shows heat readings for Standard Disk
  • 58. Investigation into How Brake Disk Design Affects Cooling 58 8.12 Test 3 (Grooved brake disk) As you can see I keep the same brake pressure applied across so that my results will be as accurate as can be and also that they mimic the road testing as close as possible. Our heat readings were more or less the same as in our previous testing, this has surprised the author because with the additional grooves on the face of the disk they should theoretically dissipate the heat better than the standard disks but our results prove otherwise. Grooved brake disk Figure 42 Grooved Disk Figure 43 Heat readings for grooved disk Figure 44 Results from grooved disks
  • 59. Investigation into How Brake Disk Design Affects Cooling 59 Thermal imaging readings Here is the heat readings as taken from the thermal imaging camera, before any braking is applied we took a cold reading (image 1) just to take as a bench mark, if we did a run and then took a reading our results would be inaccurate. As I have previous stated there is a slight surface contact area between the disk and the pads when driving along the road so some heat will be generated but nothing high as you might expect Images 1-5 showing thermal readings for Grooved disk
  • 60. Investigation into How Brake Disk Design Affects Cooling 60 8.13 Test 4 (Cross drilled) Above is my final test results for the cross drilled disks, these disks out of all 3 types had heated up the most, theoretically this should not have happened, this type of disk is the one I was expecting to have the best rate of cooling but again my results prove otherwise. I will talk about why this might happen at a later stage in my investigation. Image 1 and graph 1 showing readings for cross drilled rotors Graph 1 for cross drilled thermal readings
  • 61. Investigation into How Brake Disk Design Affects Cooling 61 Thermal imaging readings As shown for my final testing the cross drilled disk starts off with a cold reading at 18 degrees and peaks at 214.9 degrees Celsius. You may notice why there is a particular section on the disk that heats up quicker than the rest of the surface such as the middle?, this is because that where the brake pads touch the disks first at any point when braking. Images 1-5 showing final heat readings for cross drilled disks
  • 62. Investigation into How Brake Disk Design Affects Cooling 62 Comparing results In this section I would like to compare all 3 brake disks to see which one had the best rate of cooling, given that each experiment had the same pressure applied and also had set speeds and time allowed it will be an interesting result, theoretically the disk with the cross drilled should have had the best rate of cooling but our results proved that this one heated up more than the others. (Standard disk) (Grooved disk) (Cross-drilled) Image 1 reached a temperature of 106.8, image 2 reached a temperature of 138.6, and our final test reached a temperature of 214.9 degrees Celsius, all taken at 50 psi for 30 seconds and at a speed of 80 kmh. Can you see the middle section in the image to left, it appears to be hotter than any other surface on the disk, as I have explain above it is because that is where the brake pads make contact with disk and the friction between them will cause heat, more than any other surface area on the disk, later the excess heat will be absorbed by the disk and spread outwards towards the vents where the suction is pulling it away. Figure 45 shows for contact surface area
  • 63. Investigation into How Brake Disk Design Affects Cooling 63 Therefore from my analysis the author can conclude that the standard brake disk with no additional features such as grooves or drilled holes proved to have the best rate of cooling given that all the parameters were the same. The reason for this could be that given it was static testing and also housed in a garage, there was no air flow coming in like there would be out on the road testing, if all the disks were road tested the author believes that he would have seen the opposite of what was found in his results, the cross drilled would have proved to be the best while the standard would have proven to be the least efficient
  • 64. Investigation into How Brake Disk Design Affects Cooling 64 8.14 SolidWorks sketches of brake disks Here is a just a SolidWorks image of the grooved disk that the author did some testing on. Using this types of software the user can do many scenarios at little cost before being sent off to the manufacture for production, such adjustments might include smaller or bigger disks, more or less vents, or the important features such the grooves and cross drilled that could be drawn up by the user and do thermal analysis to show the limits of the disk in terms in stress and distortion over time, of course the software is only as true as the values that are inputted by the user and has to be as the exact figures that you obtained from your research otherwise the design will have a shorter life expectancy than previous though. To the left is hottest temperature achieved at 80 kph which was our top speed throughout the testing. It’s also important to note that the disk material had a co-efficient of 0.7-0.8, as this will have differences in heat readings, be sure to have your thermal camera set at the correct settings also.
  • 65. Investigation into How Brake Disk Design Affects Cooling 65 SolidWorks of cross drilled disk Here is another SolidWorks image of one of my disks, this is the type I had expected to prove the most capable of dissipating the heat but our results proved otherwise, the author suspects that if he had done road testing on all the disks he would have achieved the results he was expecting. Here is the highest temperature recorded for the cross drilled disk at 80 KPH, this disk displayed the highest out of all disks, theoretically it should have not but I have explained this earlier why this might be.
  • 66. Investigation into How Brake Disk Design Affects Cooling 66 SolidWorks of standard disk Lastly here is our standard disk in a SolidWorks image, while the author would like to point out that it’s not just important to design a disk with additional surface features it would also be wise to adjust your air vents as not to allow excessive heat built up. On our standard brake disk they are just straight through vents, others might feature directional vanes which act as a propeller when the disk is rotating at high speeds sucking in the cold air keeping the disk cool. As shown above the disks feature their own distinct vane pattern, all do the same job which is to remove the heat made from the friction of the pads but one can be efficient more than the other at dissipating the heat which is the main concern overall. Figure 45, Concepts for ventilation, Superstreetonline.com
  • 67. Investigation into How Brake Disk Design Affects Cooling 67 Advantages of cross drilling or slotted disks Drilled disks Advantages The drilled disks will have more grip than other 2 types The holes feature better ventilation and dissipate heat, (While this is commonly accepted it was not proven in my testing) They will run cooler and cool down much faster Slots increase brake pad bite Holes and slots reduce wear Holes and slots eject water and prevent hydroplaning They are lighter Duly noted that these have advantages. But there are also disadvantages of the cross drilled disk and it’s up to the owner to discern which one is fit for the purpose or his driving style Drilled disks Disadvantages Drilled disk are more prone to crack Drilled disks are more expensive
  • 68. Investigation into How Brake Disk Design Affects Cooling 68 Comparing road with static testing. Earlier, the author explain that the cross drilled rotors would have proven to be more efficient at dissipating the heat along with our other disks had they been all tested on the road. Our results prove that without the airflow entering the wheel when driving along the road, the disk simply lacks the power to dissipate the heat better than the grooved, and the standard brake disk. Another factor that surprised the author is that during the static testing, the weight of the car was taken out of the equation and still the disk heated up more than it did on the road, even with the weight of the car along with a driver and a passenger. Our road test above shows that at 80 km/h at an emergency stop the maximum heat came to 82 degrees Celsius. Our static testing shows the disks heated up about 62% more than it did on the road, an additional 132 degree’s more on the static testing that in itself shows how important airflow is in a brake system.
  • 69. Investigation into How Brake Disk Design Affects Cooling 69 8.15 Vehicle braking calculations Here the author is going to talk about some calculations regarding the braking distances in regards to the speed that was disk was rotating at. The formula used to calculate braking distance is as follows: Co-efficient of friction can be different for all materials, for brake disks we are looking at a co-efficient of 0.7. This value represents the surface contact on a dry road via the grip or bite.
  • 70. Investigation into How Brake Disk Design Affects Cooling 70 8.16 Vehicle configurations Mass of vehicle 1266 Initial velocity 22.22 (80 km/h) Vehicle speed at end of braking 0 m/s Brake disc diameter 0.280 m Axle weight distribution 30% on each side y = 0.3 % of kinetic energy that disc absorbs K=0.9 Acceleration due to gravity 9.81 Coefficient of friction for dry 0.7 μ = 0.7 Kinetic energy equations The equations below found in this journal paper can be applied to my values so that we can calculate the heat flux in the brake disc Energy generated during braking K.E=k(0.5)y 𝑚(𝑢−𝑣)^2 2 = (0.9) 𝟏 𝟐 (𝟎. 𝟑) 𝟏𝟐𝟔𝟔(𝟐𝟐.𝟐−𝟎)^𝟐 𝟐 = 42115.6422J To calculate stopping distance 𝑑 = 𝑢^2 2𝑢𝑔 = 𝟑𝟓. 𝟗𝟒 𝐦 To calculate deceleration time V = u + at Deceleration time = braking time = 1s on bench test but 4s on road Braking power Pb = K.E/t = 𝟒𝟐𝟏𝟏𝟓.𝟔𝟒𝟐𝟐 𝟒 = 10528.91 W
  • 71. Investigation into How Brake Disk Design Affects Cooling 71 Calculate heat flux (Q) (Heat flux is defined as the amount of heat transferred per unit area unit time, from or to a surface) Q = Pb/A = 𝟏𝟎𝟓𝟐𝟖.𝟗𝟏 .𝟐𝟖𝟎 = 𝟑𝟕𝟔𝟎𝟑. 𝟐𝟓 𝑾/𝒎𝟐 Analytical temperature rise calculations (Adopted from same journal paper) Heat forms in the braking system due to the contact area between the pads and disc of its components. On the basis of law of conservation of energy which states that the kinetic energy of the vehicle during motion is equal to the dissipated heat after vehicle stop. Material properties Cast Iron Thermal conductivity 50 Density, p(kg/m3) 6600 Specific Heat, C (J/kg C) 380 Thermal expansion, α(10-6/k) .15 Elastic modulus E (Gpa) 110 Coefficient of friction, u 0.5 Heat transfer coefficient h(w/km2) 120 Hydraulic pressure, P (M pa) 50
  • 72. Investigation into How Brake Disk Design Affects Cooling 72 8.17 Calculations RPM x 2π 60 Rads/s = M/s Diameter of disk: 280mm = 0.28m Radius of disk: 140mm = 0.14m M/s = MPH 1m/s = 2.236 MPH Brakes applied @ 20 kph = 12.43 mph = 5.55m/s (5.55)^2 2(0.7)(9.81) = 2.242 Metres Brakes applied @ 40 kph = 24.85 mph = 11.11m/s (11.11)^2 2(0.7)(9.81) = 8.99 Metres Brakes applied @ 60 kph = 37.28 mph = 16.66m/s (16.66)^2 2(0.7)(9.81) = 20.21 Metres Brakes applied @ 80 kph = 49.70 mph = 22.22m/s (22.22)^2 2(0.7)(9.81) = 35.95 Metres
  • 73. Investigation into How Brake Disk Design Affects Cooling 73 Thermal calculations In this section I am going to research calculations that are used to determine thermal flow in brake disks. For the rotor “𝐀𝐬𝐫” √“𝐊𝐫𝐏𝐫𝐂𝐩𝐫” “𝐀𝐬𝐫” √(“𝐊𝐫𝐏𝐫𝐂𝐩𝐫” )”+𝐀𝐬𝐫” √(“𝐊𝐬𝐏𝐬𝐂𝐩𝐬” ) For the Stator “𝐀𝐬𝐬” √“𝐊𝐬𝐏𝐬𝐂𝐩𝐬” “𝐀𝐬𝐬” √(“𝐊𝐬𝐏𝐬𝐂𝐩𝐬” )” + 𝐀𝐬𝐫” √(“𝐊𝐫𝐏𝐫𝐂𝐩𝐫” ) Asr, Ass = Friction surface area of the rotor and stator respectively K: = Thermal conductivity P: = Mass density (kg/m3), Cp: = Specific heat at constant volume (J/kg K.)n
  • 74. Investigation into How Brake Disk Design Affects Cooling 74 Chapter 9. Practice braking tests Testing was carried out to determine the heat output generated in the disks at different speeds for an x amount of time, the same principles were applied to the 3 disks and then compared at the end to determine which one had the best rate of cooling. Two tests were carried out, a road test which the author did emergency braking at the different speeds and then applied the same principles during the static testing. Because the car will be up on a hydraulic ramp the front wheels will be free to move, with the car motionless, and also without the weight of the car when the brakes are applied to the spinning disks they will stop almost instantly. The main essentials of a braking system are as follows Friction pair surface temperatures & temperature distributions Thermal and thermomechanical stresses Thermal deformations and deflections Cooling characteristics Brake fluid temperature Temperatures of seals, bearings & associated brake components
  • 75. Investigation into How Brake Disk Design Affects Cooling 75 9.1 Conclusions To begin with, before the author had in mind to do static testing, he had intended on doing all road testing on an airport runway on which he had done research and found 2 airports nearby, the reason he wanted to do this was because it would have been closed off to traffic and also because we would be doing excessive speeds throughout the remaining of the testing, it was unsafe to do so on public roads, unfortunaly the author was denied access to both locations because of insurance reasons and also because there was interruptions of flights. The aim of this thesis was to analyse the heat dissipation of 3 different brake disks, 1) standard disk, 2) grooved disk, 3) cross drilled disk. We set out to do a road test on one brake disk and then compare that with our static testing, the author also set out to do static testing on all 3 new brake disk’s and again compare those with each other to see which one had the best rate of cooling. Along with doing physical testing the author did some research on the analysis side of brake disk to show what forces might be generated on a disk brake. There are several advantages of disk brakes over drum brakes, 1) have more stopping power, 2) can disperse the heat better than drum’s, 3)have less moving parts than drums, 4) easier to work. They also have their disadvantages: 1) more expensive, 2) prone to crack more easily because of nature of the design, 3) more difficult to install parking brake.
  • 76. Investigation into How Brake Disk Design Affects Cooling 76 9.2 A cars stopping distance depends on multiple things, 1) Tire to road friction, 2), vehicle balance, 3), skill of driver, 4), system reaction time, what it doesn’t depend on is the type of brakes, and the size even though this might seem the case. Most if not all of today’s cars are fitted with front brake disks and rear drum brakes, this is because as a car applies the brakes in any situation all of the weight is transferred to the front so you have disk brakes at the front and not at the back, you need good stopping power at the front. Weight distribution is 40%-60% at no braking while hard braking is 20%- 80% Our practical braking tests went as expected but when the author applied the same principles when doing the static testing, the results did not turn out as quite as he had expected. The best of the 3 disks which was the cross drilled turned out to be the worst at dissipating the heat while the other 2 proved to be better 9.3 Brake disk material: All of brake disks are made from cast iron for 4 reasons,  It is hard and durable  It resists wear  It is less costly than steel or aluminium  It has better properties for dissipating heat to cool the brakes
  • 77. Investigation into How Brake Disk Design Affects Cooling 77 9.4 Brake disk design: Brake disks can differ in terms of their surface design and also in terms of their vane design, both will have impacts on the disk and from there will show which is better at dissipating the heat from the disk. From research the author has found that currently there are 70 different cooling rib configurations in the disk themselves, examples include straight vaned, curved vaned, and even segmented, and others are evenly spaced while others are not. There are vanes which are zigzagged like a maze so on so forth, the main idea manufactures are getting at is that different cooling rib configurations included are will be used to optimise brake cooling. 9.5 Brake disk materials: The material which the disk is made from is also important, a material with a good thermal property would be a suitable candidate for the job, materials differ in all aspects such as strength, noise, wear, and braking characteristics. Disks are carefully manufactured so that the material cools in a way that won’t affect the overall structure that could lead to failure when high temperatures are applied. Other factors that are carefully monitored are the tensile strength, hardness and the microstructure.
  • 78. Investigation into How Brake Disk Design Affects Cooling 78 9.6 Recommendations Thermal Analysis (SolidWorks) From doing this thesis the author learn a lot and could have done further research and improvements if he had more time. The author’s final recommendations was to do some SolidWorks simulation on the brake disks if he were to do it again using an analysis called the thermal analysis. Both the author and his supervisor had a keen interest in doing this over the course of his thesis but due to time constraints, he was unable to put any more time into his work as he was leading into the last few days of the deadline. The author’s head of year Mr Sean Dalton had introduced him to thermal analysis on SolidWorks but had little to none experience in that area which left too much pressure on the author to learn the software in such a short space of time. Thermal analysis definition: “Thermal analysis is a branch of materials science where the properties of materials are studied as they change with temperature. Several methods are commonly used – these are distinguished from one another by the property which is measured: Dielectric thermal analysis (DEA): dielectric permittivity and loss factor”
  • 79. Investigation into How Brake Disk Design Affects Cooling 79 9.7 Using this software the designer is enabled to carry out thermal analysis at any point in the process of his design to ensure that all components and assembly performs in the correct manner and most importantly within the temperature range, in this manner the designer can spot safety issues before they arise, this saves time and costs in the process. The software allows you to calculate the temperature and heat transfer within the structure of your design, every material has its own independent properties which is important for the user to know so that the correct material will fit the purpose. Safety also is integrated into everything these days, brake disks also need a safety design to prevent failure over time, perhaps extra ventilation or guards. 9.8 Thermal Analysis Overview The following below is quoted from the SolidWorks website under thermal analysis section. “The heat flow through the components can be in a steady state (where the heat flow does not change over time) or transient in nature. The thermal analogy of a linear static analysis is a steady-state thermal analysis, while a dynamic structural analysis is analogous to a transient thermal analysis”. Heat transfer problems can be solved using structural and fluid flow analysis methods: In a thermal structural analysis, the effect of the moving air or a moving liquid is approximated by a series of boundary conditions or loads. In a thermal fluid analysis, the effect of the air or a liquid is calculated, increasing the run time but also increasing to overall solution accuracy.
  • 80. Investigation into How Brake Disk Design Affects Cooling 80 9.9 Thermal Analysis Overview (2.0) Heat can adversely affect the performance of a design, whether it is exceeding the permissible temperature of the device or by thermal expansion or contraction of its components. This allows us to simulate steady state thermal performance and heat analysis over time. Looking at the current temperature and see how quickly the design cools down after a heat source is removed. We are testing the heat distribution due to a fast braking action. The goal was to see how quickly the disk cools afterwards, this can insure that heat dissipation meets performance requirements to prevent brake fade SolidWorks makes it very easy to interrogate the model and view temperatures over the disk and then plot them over time Animating the temperatures show the transfer of heat through the structure based on the material characteristics Heat transfer properties vary over surfaces due to shape or fluid flow SolidWorks simulation. From the thermal analysis you can quickly obtain the structural performance of your design For the disk the focus is on insuring that thermal expansion does not cause problems with the internal stress or shape of the disk With SolidWorks simulation testing the thermal performance of your deign is highly efficient and always up to date which helps develop the best design faster.
  • 81. Investigation into How Brake Disk Design Affects Cooling 81 9.10 Finite element analysis This is used for numerical solutions of a wide range of engineering problems, here it is used for calculating the thermal performances of a brake disc which will show us heat values under repetitive braking or if an emergency stop was generated what the maximum heat was generated.  Examples of thermal analysis software 9.11 Above is the thermal stress of a brake disk, the designer here is trying to determine how much thermal stress the disk can incur before failure, using this software allows the user to interchange any details at the click of a button to achieve the best possible results. Figure 45 showing thermal stress
  • 82. Investigation into How Brake Disk Design Affects Cooling 82 9.12 This is thermal deflection on the same disk after a period of time, after the analysis the user was allowed to see any deformation that occurred over a period of time, upon looking at the results it was clear that the disk deformed quite considerably given the stress that was applied. With these results the user can decide which material performs better over the other, which in turn saves cost and time in the manufacturing process, being able to simulate data before any designs are put into production and see the results is very impressive in today’s software Figure 46 shows thermal deflection Figure 47 showing side view deflection
  • 83. Investigation into How Brake Disk Design Affects Cooling 83 Thermal Distribution 9.13 This is also an area that could have been analysed using thermal analysis, the user is researching thermal distribution on the disk after a braking situation was simulated. A static study was approached and upon doing the analysis the user saw that the disk warped under the specified conditions that were inputted from the beginning. A probe tool can also be selected to pin point any location on the disk to see any desired result that the user might want to view. Figure 48 shows thermal heat distributed over the surface
  • 84. Investigation into How Brake Disk Design Affects Cooling 84 Chapter 10. References Ali Belhocine Abd Ramhim. (2013). Structural and contact analysis of disc brake assembly during single stop braking event. India: The indian institute of metals. Ali Belhocine, A. R. (2014). Structural and Contact Analysis of Disc Brake Assembly During Single Stop Braking Event. Metallurgy Materials Engineering. Ali Belhocine, Mostefa Bouchetra. (2013). Analysis of ventilation disc brake using CFD to improve its thermal performance. Ain Shams Engineering journal, 4, 475- 483. Faramarz Talati, Salman Jalalifar. (2009). Analysis of heat conduction in a disc brake system. Heat Mass transfer. Suresh, D. (2013). Structural and thermal analysis of rotor disc of disc brake. International Journal of innovative research in science, engineering and technology, 2(12). Retrieved from http://www.ijirset.com/upload/2013/december/51A_Structural.pdf